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Finding the Third Proportional to 503,708 and 760,412

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Solution

The third proportional to 503,708 and 760,412 is: 1,147,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,708 : 760,412 = 760,412 : x
  2. Step 2: Convert to fraction form
    503,708/760,412 = 760,412/x
  3. Step 3: Cross multiply
    503,708x = 760,412 × 760,412
  4. Step 4: Simplify right side
    503,708x = 578,226,409,744
  5. Step 5: Solve for x
    x = 578,226,409,744/503,708
  6. Step 6: Final answer
    x = 1,147,939.70

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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.