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Finding the Third Proportional to 337,710 and 513,528

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Solution

The third proportional to 337,710 and 513,528 is: 780,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,710 : 513,528 = 513,528 : x
  2. Step 2: Convert to fraction form
    337,710/513,528 = 513,528/x
  3. Step 3: Cross multiply
    337,710x = 513,528 × 513,528
  4. Step 4: Simplify right side
    337,710x = 263,711,006,784
  5. Step 5: Solve for x
    x = 263,711,006,784/337,710
  6. Step 6: Final answer
    x = 780,880.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.