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Finding the Third Proportional to 503,264 and 772,416

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Solution

The third proportional to 503,264 and 772,416 is: 1,185,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,264 : 772,416 = 772,416 : x
  2. Step 2: Convert to fraction form
    503,264/772,416 = 772,416/x
  3. Step 3: Cross multiply
    503,264x = 772,416 × 772,416
  4. Step 4: Simplify right side
    503,264x = 596,626,477,056
  5. Step 5: Solve for x
    x = 596,626,477,056/503,264
  6. Step 6: Final answer
    x = 1,185,513.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.