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Finding the Third Proportional to 535,306 and 782,853

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Solution

The third proportional to 535,306 and 782,853 is: 1,144,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,306 : 782,853 = 782,853 : x
  2. Step 2: Convert to fraction form
    535,306/782,853 = 782,853/x
  3. Step 3: Cross multiply
    535,306x = 782,853 × 782,853
  4. Step 4: Simplify right side
    535,306x = 612,858,819,609
  5. Step 5: Solve for x
    x = 612,858,819,609/535,306
  6. Step 6: Final answer
    x = 1,144,875.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.