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Finding the Third Proportional to 753,471 and 1,130,206.50

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Solution

The third proportional to 753,471 and 1,130,206.50 is: 1,695,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,471 : 1,130,206.50 = 1,130,206.50 : x
  2. Step 2: Convert to fraction form
    753,471/1,130,206.50 = 1,130,206.50/x
  3. Step 3: Cross multiply
    753,471x = 1,130,206.50 × 1,130,206.50
  4. Step 4: Simplify right side
    753,471x = 1,277,366,732,642.25
  5. Step 5: Solve for x
    x = 1,277,366,732,642.25/753,471
  6. Step 6: Final answer
    x = 1,695,309.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.