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Finding the Third Proportional to 249,153.75 and 584,928

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Solution

The third proportional to 249,153.75 and 584,928 is: 1,373,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,153.75 : 584,928 = 584,928 : x
  2. Step 2: Convert to fraction form
    249,153.75/584,928 = 584,928/x
  3. Step 3: Cross multiply
    249,153.75x = 584,928 × 584,928
  4. Step 4: Simplify right side
    249,153.75x = 342,140,765,184
  5. Step 5: Solve for x
    x = 342,140,765,184/249,153.75
  6. Step 6: Final answer
    x = 1,373,211.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.