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Finding the Third Proportional to 497,788,223 and 717,032,446

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Solution

The third proportional to 497,788,223 and 717,032,446 is: 1,032,839,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788,223 : 717,032,446 = 717,032,446 : x
  2. Step 2: Convert to fraction form
    497,788,223/717,032,446 = 717,032,446/x
  3. Step 3: Cross multiply
    497,788,223x = 717,032,446 × 717,032,446
  4. Step 4: Simplify right side
    497,788,223x = 514,135,528,616,742,912
  5. Step 5: Solve for x
    x = 514,135,528,616,742,912/497,788,223
  6. Step 6: Final answer
    x = 1,032,839,880.22

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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.