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Finding the Third Proportional to 361,216 and 562,506

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Solution

The third proportional to 361,216 and 562,506 is: 875,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,216 : 562,506 = 562,506 : x
  2. Step 2: Convert to fraction form
    361,216/562,506 = 562,506/x
  3. Step 3: Cross multiply
    361,216x = 562,506 × 562,506
  4. Step 4: Simplify right side
    361,216x = 316,413,000,036
  5. Step 5: Solve for x
    x = 316,413,000,036/361,216
  6. Step 6: Final answer
    x = 875,966.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.