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Finding the Third Proportional to 415,312 and 625,752

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Solution

The third proportional to 415,312 and 625,752 is: 942,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,312 : 625,752 = 625,752 : x
  2. Step 2: Convert to fraction form
    415,312/625,752 = 625,752/x
  3. Step 3: Cross multiply
    415,312x = 625,752 × 625,752
  4. Step 4: Simplify right side
    415,312x = 391,565,565,504
  5. Step 5: Solve for x
    x = 391,565,565,504/415,312
  6. Step 6: Final answer
    x = 942,822.66

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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.