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Finding the Third Proportional to 242,582 and 510,292

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Solution

The third proportional to 242,582 and 510,292 is: 1,073,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,582 : 510,292 = 510,292 : x
  2. Step 2: Convert to fraction form
    242,582/510,292 = 510,292/x
  3. Step 3: Cross multiply
    242,582x = 510,292 × 510,292
  4. Step 4: Simplify right side
    242,582x = 260,397,925,264
  5. Step 5: Solve for x
    x = 260,397,925,264/242,582
  6. Step 6: Final answer
    x = 1,073,442.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.