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Finding the Third Proportional to 249,298 and 533,570

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Solution

The third proportional to 249,298 and 533,570 is: 1,141,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,298 : 533,570 = 533,570 : x
  2. Step 2: Convert to fraction form
    249,298/533,570 = 533,570/x
  3. Step 3: Cross multiply
    249,298x = 533,570 × 533,570
  4. Step 4: Simplify right side
    249,298x = 284,696,944,900
  5. Step 5: Solve for x
    x = 284,696,944,900/249,298
  6. Step 6: Final answer
    x = 1,141,994.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.