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Finding the Third Proportional to 249,947 and 536,830

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Solution

The third proportional to 249,947 and 536,830 is: 1,152,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,947 : 536,830 = 536,830 : x
  2. Step 2: Convert to fraction form
    249,947/536,830 = 536,830/x
  3. Step 3: Cross multiply
    249,947x = 536,830 × 536,830
  4. Step 4: Simplify right side
    249,947x = 288,186,448,900
  5. Step 5: Solve for x
    x = 288,186,448,900/249,947
  6. Step 6: Final answer
    x = 1,152,990.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.