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Finding the Third Proportional to 509,398 and 746,047

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Solution

The third proportional to 509,398 and 746,047 is: 1,092,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,398 : 746,047 = 746,047 : x
  2. Step 2: Convert to fraction form
    509,398/746,047 = 746,047/x
  3. Step 3: Cross multiply
    509,398x = 746,047 × 746,047
  4. Step 4: Simplify right side
    509,398x = 556,586,126,209
  5. Step 5: Solve for x
    x = 556,586,126,209/509,398
  6. Step 6: Final answer
    x = 1,092,635.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.