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Finding the Third Proportional to 186,870 and 438,709

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Solution

The third proportional to 186,870 and 438,709 is: 1,029,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,870 : 438,709 = 438,709 : x
  2. Step 2: Convert to fraction form
    186,870/438,709 = 438,709/x
  3. Step 3: Cross multiply
    186,870x = 438,709 × 438,709
  4. Step 4: Simplify right side
    186,870x = 192,465,586,681
  5. Step 5: Solve for x
    x = 192,465,586,681/186,870
  6. Step 6: Final answer
    x = 1,029,943.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.