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Finding the Third Proportional to 329,241,120 and 702,209,280

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Solution

The third proportional to 329,241,120 and 702,209,280 is: 1,497,680,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,241,120 : 702,209,280 = 702,209,280 : x
  2. Step 2: Convert to fraction form
    329,241,120/702,209,280 = 702,209,280/x
  3. Step 3: Cross multiply
    329,241,120x = 702,209,280 × 702,209,280
  4. Step 4: Simplify right side
    329,241,120x = 493,097,872,918,118,400
  5. Step 5: Solve for x
    x = 493,097,872,918,118,400/329,241,120
  6. Step 6: Final answer
    x = 1,497,680,098.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.