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Finding the Third Proportional to 234,510 and 363,594

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Solution

The third proportional to 234,510 and 363,594 is: 563,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,510 : 363,594 = 363,594 : x
  2. Step 2: Convert to fraction form
    234,510/363,594 = 363,594/x
  3. Step 3: Cross multiply
    234,510x = 363,594 × 363,594
  4. Step 4: Simplify right side
    234,510x = 132,200,596,836
  5. Step 5: Solve for x
    x = 132,200,596,836/234,510
  6. Step 6: Final answer
    x = 563,731.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.