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Finding the Third Proportional to 371,246 and 565,574

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Solution

The third proportional to 371,246 and 565,574 is: 861,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,246 : 565,574 = 565,574 : x
  2. Step 2: Convert to fraction form
    371,246/565,574 = 565,574/x
  3. Step 3: Cross multiply
    371,246x = 565,574 × 565,574
  4. Step 4: Simplify right side
    371,246x = 319,873,949,476
  5. Step 5: Solve for x
    x = 319,873,949,476/371,246
  6. Step 6: Final answer
    x = 861,622.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.