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Finding the Third Proportional to 382,527 and 590,246

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Solution

The third proportional to 382,527 and 590,246 is: 910,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,527 : 590,246 = 590,246 : x
  2. Step 2: Convert to fraction form
    382,527/590,246 = 590,246/x
  3. Step 3: Cross multiply
    382,527x = 590,246 × 590,246
  4. Step 4: Simplify right side
    382,527x = 348,390,340,516
  5. Step 5: Solve for x
    x = 348,390,340,516/382,527
  6. Step 6: Final answer
    x = 910,760.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.