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Finding the Third Proportional to 779,331 and 1,201,828.50

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Solution

The third proportional to 779,331 and 1,201,828.50 is: 1,853,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,331 : 1,201,828.50 = 1,201,828.50 : x
  2. Step 2: Convert to fraction form
    779,331/1,201,828.50 = 1,201,828.50/x
  3. Step 3: Cross multiply
    779,331x = 1,201,828.50 × 1,201,828.50
  4. Step 4: Simplify right side
    779,331x = 1,444,391,743,412.25
  5. Step 5: Solve for x
    x = 1,444,391,743,412.25/779,331
  6. Step 6: Final answer
    x = 1,853,373.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.