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Finding the Third Proportional to 529,605 and 784,119

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Solution

The third proportional to 529,605 and 784,119 is: 1,160,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,605 : 784,119 = 784,119 : x
  2. Step 2: Convert to fraction form
    529,605/784,119 = 784,119/x
  3. Step 3: Cross multiply
    529,605x = 784,119 × 784,119
  4. Step 4: Simplify right side
    529,605x = 614,842,606,161
  5. Step 5: Solve for x
    x = 614,842,606,161/529,605
  6. Step 6: Final answer
    x = 1,160,945.62

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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.