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Finding the Third Proportional to 249,176 and 584,980

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Solution

The third proportional to 249,176 and 584,980 is: 1,373,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,176 : 584,980 = 584,980 : x
  2. Step 2: Convert to fraction form
    249,176/584,980 = 584,980/x
  3. Step 3: Cross multiply
    249,176x = 584,980 × 584,980
  4. Step 4: Simplify right side
    249,176x = 342,201,600,400
  5. Step 5: Solve for x
    x = 342,201,600,400/249,176
  6. Step 6: Final answer
    x = 1,373,332.91

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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.