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Finding the Third Proportional to 312,616.13 and 484,368.19

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Solution

The third proportional to 312,616.13 and 484,368.19 is: 750,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,616.13 : 484,368.19 = 484,368.19 : x
  2. Step 2: Convert to fraction form
    312,616.13/484,368.19 = 484,368.19/x
  3. Step 3: Cross multiply
    312,616.13x = 484,368.19 × 484,368.19
  4. Step 4: Simplify right side
    312,616.13x = 234,612,541,062.04
  5. Step 5: Solve for x
    x = 234,612,541,062.04/312,616.13
  6. Step 6: Final answer
    x = 750,481.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.