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Finding the Third Proportional to 321,226,341.38 and 433,409,752.88

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Solution

The third proportional to 321,226,341.38 and 433,409,752.88 is: 584,771,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226,341.38 : 433,409,752.88 = 433,409,752.88 : x
  2. Step 2: Convert to fraction form
    321,226,341.38/433,409,752.88 = 433,409,752.88/x
  3. Step 3: Cross multiply
    321,226,341.38x = 433,409,752.88 × 433,409,752.88
  4. Step 4: Simplify right side
    321,226,341.38x = 187,844,013,887,168,576
  5. Step 5: Solve for x
    x = 187,844,013,887,168,576/321,226,341.38
  6. Step 6: Final answer
    x = 584,771,513.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.