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Finding the Third Proportional to 552,535 and 830,853

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Solution

The third proportional to 552,535 and 830,853 is: 1,249,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,535 : 830,853 = 830,853 : x
  2. Step 2: Convert to fraction form
    552,535/830,853 = 830,853/x
  3. Step 3: Cross multiply
    552,535x = 830,853 × 830,853
  4. Step 4: Simplify right side
    552,535x = 690,316,707,609
  5. Step 5: Solve for x
    x = 690,316,707,609/552,535
  6. Step 6: Final answer
    x = 1,249,362.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.