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Finding the Third Proportional to 297,904,644 and 464,961,681

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Solution

The third proportional to 297,904,644 and 464,961,681 is: 725,699,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,904,644 : 464,961,681 = 464,961,681 : x
  2. Step 2: Convert to fraction form
    297,904,644/464,961,681 = 464,961,681/x
  3. Step 3: Cross multiply
    297,904,644x = 464,961,681 × 464,961,681
  4. Step 4: Simplify right side
    297,904,644x = 216,189,364,798,345,760
  5. Step 5: Solve for x
    x = 216,189,364,798,345,760/297,904,644
  6. Step 6: Final answer
    x = 725,699,881.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.