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Finding the Third Proportional to 403,653.38 and 625,014.98

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Solution

The third proportional to 403,653.38 and 625,014.98 is: 967,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,653.38 : 625,014.98 = 625,014.98 : x
  2. Step 2: Convert to fraction form
    403,653.38/625,014.98 = 625,014.98/x
  3. Step 3: Cross multiply
    403,653.38x = 625,014.98 × 625,014.98
  4. Step 4: Simplify right side
    403,653.38x = 390,643,730,693.28
  5. Step 5: Solve for x
    x = 390,643,730,693.28/403,653.38
  6. Step 6: Final answer
    x = 967,770.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.