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Finding the Third Proportional to 430,922.53 and 652,384.13

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Solution

The third proportional to 430,922.53 and 652,384.13 is: 987,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,922.53 : 652,384.13 = 652,384.13 : x
  2. Step 2: Convert to fraction form
    430,922.53/652,384.13 = 652,384.13/x
  3. Step 3: Cross multiply
    430,922.53x = 652,384.13 × 652,384.13
  4. Step 4: Simplify right side
    430,922.53x = 425,605,046,552.02
  5. Step 5: Solve for x
    x = 425,605,046,552.02/430,922.53
  6. Step 6: Final answer
    x = 987,660.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.