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Finding the Third Proportional to 602,417.25 and 968,567.63

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Solution

The third proportional to 602,417.25 and 968,567.63 is: 1,557,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,417.25 : 968,567.63 = 968,567.63 : x
  2. Step 2: Convert to fraction form
    602,417.25/968,567.63 = 968,567.63/x
  3. Step 3: Cross multiply
    602,417.25x = 968,567.63 × 968,567.63
  4. Step 4: Simplify right side
    602,417.25x = 938,123,244,198.14
  5. Step 5: Solve for x
    x = 938,123,244,198.14/602,417.25
  6. Step 6: Final answer
    x = 1,557,264.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.