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Finding the Third Proportional to 779,047.50 and 1,173,697.13

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Solution

The third proportional to 779,047.50 and 1,173,697.13 is: 1,768,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,047.50 : 1,173,697.13 = 1,173,697.13 : x
  2. Step 2: Convert to fraction form
    779,047.50/1,173,697.13 = 1,173,697.13/x
  3. Step 3: Cross multiply
    779,047.50x = 1,173,697.13 × 1,173,697.13
  4. Step 4: Simplify right side
    779,047.50x = 1,377,564,941,233.27
  5. Step 5: Solve for x
    x = 1,377,564,941,233.27/779,047.50
  6. Step 6: Final answer
    x = 1,768,268.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.