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Finding the Third Proportional to 508,235 and 786,959

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Solution

The third proportional to 508,235 and 786,959 is: 1,218,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,235 : 786,959 = 786,959 : x
  2. Step 2: Convert to fraction form
    508,235/786,959 = 786,959/x
  3. Step 3: Cross multiply
    508,235x = 786,959 × 786,959
  4. Step 4: Simplify right side
    508,235x = 619,304,467,681
  5. Step 5: Solve for x
    x = 619,304,467,681/508,235
  6. Step 6: Final answer
    x = 1,218,539.59

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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.