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Finding the Third Proportional to 559,960 and 864,692

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Solution

The third proportional to 559,960 and 864,692 is: 1,335,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,960 : 864,692 = 864,692 : x
  2. Step 2: Convert to fraction form
    559,960/864,692 = 864,692/x
  3. Step 3: Cross multiply
    559,960x = 864,692 × 864,692
  4. Step 4: Simplify right side
    559,960x = 747,692,254,864
  5. Step 5: Solve for x
    x = 747,692,254,864/559,960
  6. Step 6: Final answer
    x = 1,335,260.12

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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.