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Finding the Third Proportional to 249,676.50 and 539,256.50

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Solution

The third proportional to 249,676.50 and 539,256.50 is: 1,164,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,676.50 : 539,256.50 = 539,256.50 : x
  2. Step 2: Convert to fraction form
    249,676.50/539,256.50 = 539,256.50/x
  3. Step 3: Cross multiply
    249,676.50x = 539,256.50 × 539,256.50
  4. Step 4: Simplify right side
    249,676.50x = 290,797,572,792.25
  5. Step 5: Solve for x
    x = 290,797,572,792.25/249,676.50
  6. Step 6: Final answer
    x = 1,164,697.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.