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Finding the Third Proportional to 411,928 and 604,528

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Solution

The third proportional to 411,928 and 604,528 is: 887,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,928 : 604,528 = 604,528 : x
  2. Step 2: Convert to fraction form
    411,928/604,528 = 604,528/x
  3. Step 3: Cross multiply
    411,928x = 604,528 × 604,528
  4. Step 4: Simplify right side
    411,928x = 365,454,102,784
  5. Step 5: Solve for x
    x = 365,454,102,784/411,928
  6. Step 6: Final answer
    x = 887,179.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.