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Finding the Third Proportional to 249,174 and 584,975

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Solution

The third proportional to 249,174 and 584,975 is: 1,373,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,174 : 584,975 = 584,975 : x
  2. Step 2: Convert to fraction form
    249,174/584,975 = 584,975/x
  3. Step 3: Cross multiply
    249,174x = 584,975 × 584,975
  4. Step 4: Simplify right side
    249,174x = 342,195,750,625
  5. Step 5: Solve for x
    x = 342,195,750,625/249,174
  6. Step 6: Final answer
    x = 1,373,320.45

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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.