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Finding the Third Proportional to 235,386 and 514,784

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Solution

The third proportional to 235,386 and 514,784 is: 1,125,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,386 : 514,784 = 514,784 : x
  2. Step 2: Convert to fraction form
    235,386/514,784 = 514,784/x
  3. Step 3: Cross multiply
    235,386x = 514,784 × 514,784
  4. Step 4: Simplify right side
    235,386x = 265,002,566,656
  5. Step 5: Solve for x
    x = 265,002,566,656/235,386
  6. Step 6: Final answer
    x = 1,125,821.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.