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Finding the Third Proportional to 282,775.50 and 614,637

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Solution

The third proportional to 282,775.50 and 614,637 is: 1,335,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.50 : 614,637 = 614,637 : x
  2. Step 2: Convert to fraction form
    282,775.50/614,637 = 614,637/x
  3. Step 3: Cross multiply
    282,775.50x = 614,637 × 614,637
  4. Step 4: Simplify right side
    282,775.50x = 377,778,641,769
  5. Step 5: Solve for x
    x = 377,778,641,769/282,775.50
  6. Step 6: Final answer
    x = 1,335,966.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.