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Finding the Third Proportional to 334,358,112 and 516,443,664

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Solution

The third proportional to 334,358,112 and 516,443,664 is: 797,689,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,358,112 : 516,443,664 = 516,443,664 : x
  2. Step 2: Convert to fraction form
    334,358,112/516,443,664 = 516,443,664/x
  3. Step 3: Cross multiply
    334,358,112x = 516,443,664 × 516,443,664
  4. Step 4: Simplify right side
    334,358,112x = 266,714,058,085,744,896
  5. Step 5: Solve for x
    x = 266,714,058,085,744,896/334,358,112
  6. Step 6: Final answer
    x = 797,689,807.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.