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Finding the Third Proportional to 249,140 and 584,896

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Solution

The third proportional to 249,140 and 584,896 is: 1,373,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,140 : 584,896 = 584,896 : x
  2. Step 2: Convert to fraction form
    249,140/584,896 = 584,896/x
  3. Step 3: Cross multiply
    249,140x = 584,896 × 584,896
  4. Step 4: Simplify right side
    249,140x = 342,103,330,816
  5. Step 5: Solve for x
    x = 342,103,330,816/249,140
  6. Step 6: Final answer
    x = 1,373,136.91

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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.