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Finding the Third Proportional to 529,594 and 784,102

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Solution

The third proportional to 529,594 and 784,102 is: 1,160,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,594 : 784,102 = 784,102 : x
  2. Step 2: Convert to fraction form
    529,594/784,102 = 784,102/x
  3. Step 3: Cross multiply
    529,594x = 784,102 × 784,102
  4. Step 4: Simplify right side
    529,594x = 614,815,946,404
  5. Step 5: Solve for x
    x = 614,815,946,404/529,594
  6. Step 6: Final answer
    x = 1,160,919.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.