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Finding the Third Proportional to 249,748 and 535,226

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Solution

The third proportional to 249,748 and 535,226 is: 1,147,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,748 : 535,226 = 535,226 : x
  2. Step 2: Convert to fraction form
    249,748/535,226 = 535,226/x
  3. Step 3: Cross multiply
    249,748x = 535,226 × 535,226
  4. Step 4: Simplify right side
    249,748x = 286,466,871,076
  5. Step 5: Solve for x
    x = 286,466,871,076/249,748
  6. Step 6: Final answer
    x = 1,147,023.68

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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.