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Finding the Third Proportional to 321,226,341 and 433,409,752

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Solution

The third proportional to 321,226,341 and 433,409,752 is: 584,771,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226,341 : 433,409,752 = 433,409,752 : x
  2. Step 2: Convert to fraction form
    321,226,341/433,409,752 = 433,409,752/x
  3. Step 3: Cross multiply
    321,226,341x = 433,409,752 × 433,409,752
  4. Step 4: Simplify right side
    321,226,341x = 187,844,013,128,701,504
  5. Step 5: Solve for x
    x = 187,844,013,128,701,504/321,226,341
  6. Step 6: Final answer
    x = 584,771,512.02

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