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Finding the Third Proportional to 296,263 and 656,585

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Solution

The third proportional to 296,263 and 656,585 is: 1,455,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,263 : 656,585 = 656,585 : x
  2. Step 2: Convert to fraction form
    296,263/656,585 = 656,585/x
  3. Step 3: Cross multiply
    296,263x = 656,585 × 656,585
  4. Step 4: Simplify right side
    296,263x = 431,103,862,225
  5. Step 5: Solve for x
    x = 431,103,862,225/296,263
  6. Step 6: Final answer
    x = 1,455,139.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.