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Finding the Third Proportional to 550,925.30 and 780,255.91

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Solution

The third proportional to 550,925.30 and 780,255.91 is: 1,105,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,925.30 : 780,255.91 = 780,255.91 : x
  2. Step 2: Convert to fraction form
    550,925.30/780,255.91 = 780,255.91/x
  3. Step 3: Cross multiply
    550,925.30x = 780,255.91 × 780,255.91
  4. Step 4: Simplify right side
    550,925.30x = 608,799,291,429.51
  5. Step 5: Solve for x
    x = 608,799,291,429.51/550,925.30
  6. Step 6: Final answer
    x = 1,105,048.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.