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Finding the Third Proportional to 551,637 and 835,708.50

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Solution

The third proportional to 551,637 and 835,708.50 is: 1,266,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,637 : 835,708.50 = 835,708.50 : x
  2. Step 2: Convert to fraction form
    551,637/835,708.50 = 835,708.50/x
  3. Step 3: Cross multiply
    551,637x = 835,708.50 × 835,708.50
  4. Step 4: Simplify right side
    551,637x = 698,408,696,972.25
  5. Step 5: Solve for x
    x = 698,408,696,972.25/551,637
  6. Step 6: Final answer
    x = 1,266,065.72

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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.