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Finding the Third Proportional to 292,943.25 and 442,557

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Solution

The third proportional to 292,943.25 and 442,557 is: 668,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,943.25 : 442,557 = 442,557 : x
  2. Step 2: Convert to fraction form
    292,943.25/442,557 = 442,557/x
  3. Step 3: Cross multiply
    292,943.25x = 442,557 × 442,557
  4. Step 4: Simplify right side
    292,943.25x = 195,856,698,249
  5. Step 5: Solve for x
    x = 195,856,698,249/292,943.25
  6. Step 6: Final answer
    x = 668,582.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.