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Finding the Third Proportional to 253,141,615.13 and 380,386,504.69

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Solution

The third proportional to 253,141,615.13 and 380,386,504.69 is: 571,592,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,141,615.13 : 380,386,504.69 = 380,386,504.69 : x
  2. Step 2: Convert to fraction form
    253,141,615.13/380,386,504.69 = 380,386,504.69/x
  3. Step 3: Cross multiply
    253,141,615.13x = 380,386,504.69 × 380,386,504.69
  4. Step 4: Simplify right side
    253,141,615.13x = 144,693,892,948,373,472
  5. Step 5: Solve for x
    x = 144,693,892,948,373,472/253,141,615.13
  6. Step 6: Final answer
    x = 571,592,675.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.