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Finding the Third Proportional to 552,507.50 and 830,818

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Solution

The third proportional to 552,507.50 and 830,818 is: 1,249,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,507.50 : 830,818 = 830,818 : x
  2. Step 2: Convert to fraction form
    552,507.50/830,818 = 830,818/x
  3. Step 3: Cross multiply
    552,507.50x = 830,818 × 830,818
  4. Step 4: Simplify right side
    552,507.50x = 690,258,549,124
  5. Step 5: Solve for x
    x = 690,258,549,124/552,507.50
  6. Step 6: Final answer
    x = 1,249,319.78

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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.