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Finding the Third Proportional to 735,193.50 and 1,124,416.50

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Solution

The third proportional to 735,193.50 and 1,124,416.50 is: 1,719,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,193.50 : 1,124,416.50 = 1,124,416.50 : x
  2. Step 2: Convert to fraction form
    735,193.50/1,124,416.50 = 1,124,416.50/x
  3. Step 3: Cross multiply
    735,193.50x = 1,124,416.50 × 1,124,416.50
  4. Step 4: Simplify right side
    735,193.50x = 1,264,312,465,472.25
  5. Step 5: Solve for x
    x = 1,264,312,465,472.25/735,193.50
  6. Step 6: Final answer
    x = 1,719,700.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.