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Finding the Third Proportional to 761,386 and 1,071,250.50

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Solution

The third proportional to 761,386 and 1,071,250.50 is: 1,507,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,386 : 1,071,250.50 = 1,071,250.50 : x
  2. Step 2: Convert to fraction form
    761,386/1,071,250.50 = 1,071,250.50/x
  3. Step 3: Cross multiply
    761,386x = 1,071,250.50 × 1,071,250.50
  4. Step 4: Simplify right side
    761,386x = 1,147,577,633,750.25
  5. Step 5: Solve for x
    x = 1,147,577,633,750.25/761,386
  6. Step 6: Final answer
    x = 1,507,221.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.