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Finding the Third Proportional to 321,226,320 and 433,409,730

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Solution

The third proportional to 321,226,320 and 433,409,730 is: 584,771,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226,320 : 433,409,730 = 433,409,730 : x
  2. Step 2: Convert to fraction form
    321,226,320/433,409,730 = 433,409,730/x
  3. Step 3: Cross multiply
    321,226,320x = 433,409,730 × 433,409,730
  4. Step 4: Simplify right side
    321,226,320x = 187,843,994,058,672,896
  5. Step 5: Solve for x
    x = 187,843,994,058,672,896/321,226,320
  6. Step 6: Final answer
    x = 584,771,490.89

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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.