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Finding the Third Proportional to 261,038 and 563,548

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Solution

The third proportional to 261,038 and 563,548 is: 1,216,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,038 : 563,548 = 563,548 : x
  2. Step 2: Convert to fraction form
    261,038/563,548 = 563,548/x
  3. Step 3: Cross multiply
    261,038x = 563,548 × 563,548
  4. Step 4: Simplify right side
    261,038x = 317,586,348,304
  5. Step 5: Solve for x
    x = 317,586,348,304/261,038
  6. Step 6: Final answer
    x = 1,216,628.80

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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.