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Finding the Third Proportional to 497,782,648 and 717,072,680

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Solution

The third proportional to 497,782,648 and 717,072,680 is: 1,032,967,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,782,648 : 717,072,680 = 717,072,680 : x
  2. Step 2: Convert to fraction form
    497,782,648/717,072,680 = 717,072,680/x
  3. Step 3: Cross multiply
    497,782,648x = 717,072,680 × 717,072,680
  4. Step 4: Simplify right side
    497,782,648x = 514,193,228,402,382,400
  5. Step 5: Solve for x
    x = 514,193,228,402,382,400/497,782,648
  6. Step 6: Final answer
    x = 1,032,967,361.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.