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Finding the Third Proportional to 249,772 and 535,276

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Solution

The third proportional to 249,772 and 535,276 is: 1,147,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,772 : 535,276 = 535,276 : x
  2. Step 2: Convert to fraction form
    249,772/535,276 = 535,276/x
  3. Step 3: Cross multiply
    249,772x = 535,276 × 535,276
  4. Step 4: Simplify right side
    249,772x = 286,520,396,176
  5. Step 5: Solve for x
    x = 286,520,396,176/249,772
  6. Step 6: Final answer
    x = 1,147,127.77

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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.