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Finding the Third Proportional to 277,113 and 597,468

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Solution

The third proportional to 277,113 and 597,468 is: 1,288,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,113 : 597,468 = 597,468 : x
  2. Step 2: Convert to fraction form
    277,113/597,468 = 597,468/x
  3. Step 3: Cross multiply
    277,113x = 597,468 × 597,468
  4. Step 4: Simplify right side
    277,113x = 356,968,011,024
  5. Step 5: Solve for x
    x = 356,968,011,024/277,113
  6. Step 6: Final answer
    x = 1,288,167.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.