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Finding the Third Proportional to 249,271 and 540,602

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Solution

The third proportional to 249,271 and 540,602 is: 1,172,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,271 : 540,602 = 540,602 : x
  2. Step 2: Convert to fraction form
    249,271/540,602 = 540,602/x
  3. Step 3: Cross multiply
    249,271x = 540,602 × 540,602
  4. Step 4: Simplify right side
    249,271x = 292,250,522,404
  5. Step 5: Solve for x
    x = 292,250,522,404/249,271
  6. Step 6: Final answer
    x = 1,172,420.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.