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Finding the Third Proportional to 687,648.50 and 1,032,771.75

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Solution

The third proportional to 687,648.50 and 1,032,771.75 is: 1,551,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,648.50 : 1,032,771.75 = 1,032,771.75 : x
  2. Step 2: Convert to fraction form
    687,648.50/1,032,771.75 = 1,032,771.75/x
  3. Step 3: Cross multiply
    687,648.50x = 1,032,771.75 × 1,032,771.75
  4. Step 4: Simplify right side
    687,648.50x = 1,066,617,487,598.06
  5. Step 5: Solve for x
    x = 1,066,617,487,598.06/687,648.50
  6. Step 6: Final answer
    x = 1,551,108.58

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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.