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Finding the Third Proportional to 566,594 and 884,259

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Solution

The third proportional to 566,594 and 884,259 is: 1,380,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,594 : 884,259 = 884,259 : x
  2. Step 2: Convert to fraction form
    566,594/884,259 = 884,259/x
  3. Step 3: Cross multiply
    566,594x = 884,259 × 884,259
  4. Step 4: Simplify right side
    566,594x = 781,913,979,081
  5. Step 5: Solve for x
    x = 781,913,979,081/566,594
  6. Step 6: Final answer
    x = 1,380,025.17

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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.