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Finding the Third Proportional to 282,415 and 440,294

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Solution

The third proportional to 282,415 and 440,294 is: 686,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415 : 440,294 = 440,294 : x
  2. Step 2: Convert to fraction form
    282,415/440,294 = 440,294/x
  3. Step 3: Cross multiply
    282,415x = 440,294 × 440,294
  4. Step 4: Simplify right side
    282,415x = 193,858,806,436
  5. Step 5: Solve for x
    x = 193,858,806,436/282,415
  6. Step 6: Final answer
    x = 686,432.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.