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Finding the Third Proportional to 564,411 and 864,598.50

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Solution

The third proportional to 564,411 and 864,598.50 is: 1,324,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,411 : 864,598.50 = 864,598.50 : x
  2. Step 2: Convert to fraction form
    564,411/864,598.50 = 864,598.50/x
  3. Step 3: Cross multiply
    564,411x = 864,598.50 × 864,598.50
  4. Step 4: Simplify right side
    564,411x = 747,530,566,202.25
  5. Step 5: Solve for x
    x = 747,530,566,202.25/564,411
  6. Step 6: Final answer
    x = 1,324,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.