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Finding the Third Proportional to 388,281,714.75 and 524,764,495.69

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Solution

The third proportional to 388,281,714.75 and 524,764,495.69 is: 709,221,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,281,714.75 : 524,764,495.69 = 524,764,495.69 : x
  2. Step 2: Convert to fraction form
    388,281,714.75/524,764,495.69 = 524,764,495.69/x
  3. Step 3: Cross multiply
    388,281,714.75x = 524,764,495.69 × 524,764,495.69
  4. Step 4: Simplify right side
    388,281,714.75x = 275,377,775,934,156,192
  5. Step 5: Solve for x
    x = 275,377,775,934,156,192/388,281,714.75
  6. Step 6: Final answer
    x = 709,221,592.14

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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.