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Finding the Third Proportional to 740,938.50 and 1,117,244.50

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Solution

The third proportional to 740,938.50 and 1,117,244.50 is: 1,684,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,938.50 : 1,117,244.50 = 1,117,244.50 : x
  2. Step 2: Convert to fraction form
    740,938.50/1,117,244.50 = 1,117,244.50/x
  3. Step 3: Cross multiply
    740,938.50x = 1,117,244.50 × 1,117,244.50
  4. Step 4: Simplify right side
    740,938.50x = 1,248,235,272,780.25
  5. Step 5: Solve for x
    x = 1,248,235,272,780.25/740,938.50
  6. Step 6: Final answer
    x = 1,684,667.85

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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.