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Finding the Third Proportional to 282,614 and 424,528

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Solution

The third proportional to 282,614 and 424,528 is: 637,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,614 : 424,528 = 424,528 : x
  2. Step 2: Convert to fraction form
    282,614/424,528 = 424,528/x
  3. Step 3: Cross multiply
    282,614x = 424,528 × 424,528
  4. Step 4: Simplify right side
    282,614x = 180,224,022,784
  5. Step 5: Solve for x
    x = 180,224,022,784/282,614
  6. Step 6: Final answer
    x = 637,703.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.