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Finding the Third Proportional to 384,547.13 and 838,288.13

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Solution

The third proportional to 384,547.13 and 838,288.13 is: 1,827,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,547.13 : 838,288.13 = 838,288.13 : x
  2. Step 2: Convert to fraction form
    384,547.13/838,288.13 = 838,288.13/x
  3. Step 3: Cross multiply
    384,547.13x = 838,288.13 × 838,288.13
  4. Step 4: Simplify right side
    384,547.13x = 702,726,980,516.02
  5. Step 5: Solve for x
    x = 702,726,980,516.02/384,547.13
  6. Step 6: Final answer
    x = 1,827,414.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.