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Finding the Third Proportional to 565,173,514 and 763,359,483

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Solution

The third proportional to 565,173,514 and 763,359,483 is: 1,031,042,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,173,514 : 763,359,483 = 763,359,483 : x
  2. Step 2: Convert to fraction form
    565,173,514/763,359,483 = 763,359,483/x
  3. Step 3: Cross multiply
    565,173,514x = 763,359,483 × 763,359,483
  4. Step 4: Simplify right side
    565,173,514x = 582,717,700,286,027,264
  5. Step 5: Solve for x
    x = 582,717,700,286,027,264/565,173,514
  6. Step 6: Final answer
    x = 1,031,042,123.97

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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.