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Finding the Third Proportional to 249,149 and 584,910

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Solution

The third proportional to 249,149 and 584,910 is: 1,373,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,149 : 584,910 = 584,910 : x
  2. Step 2: Convert to fraction form
    249,149/584,910 = 584,910/x
  3. Step 3: Cross multiply
    249,149x = 584,910 × 584,910
  4. Step 4: Simplify right side
    249,149x = 342,119,708,100
  5. Step 5: Solve for x
    x = 342,119,708,100/249,149
  6. Step 6: Final answer
    x = 1,373,153.05

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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.