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Finding the Third Proportional to 592,339 and 866,292

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Solution

The third proportional to 592,339 and 866,292 is: 1,266,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,339 : 866,292 = 866,292 : x
  2. Step 2: Convert to fraction form
    592,339/866,292 = 866,292/x
  3. Step 3: Cross multiply
    592,339x = 866,292 × 866,292
  4. Step 4: Simplify right side
    592,339x = 750,461,829,264
  5. Step 5: Solve for x
    x = 750,461,829,264/592,339
  6. Step 6: Final answer
    x = 1,266,946.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.