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Finding the Third Proportional to 306,858 and 656,363

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Solution

The third proportional to 306,858 and 656,363 is: 1,403,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,858 : 656,363 = 656,363 : x
  2. Step 2: Convert to fraction form
    306,858/656,363 = 656,363/x
  3. Step 3: Cross multiply
    306,858x = 656,363 × 656,363
  4. Step 4: Simplify right side
    306,858x = 430,812,387,769
  5. Step 5: Solve for x
    x = 430,812,387,769/306,858
  6. Step 6: Final answer
    x = 1,403,947.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.