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Finding the Third Proportional to 249,259.50 and 540,585

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Solution

The third proportional to 249,259.50 and 540,585 is: 1,172,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,259.50 : 540,585 = 540,585 : x
  2. Step 2: Convert to fraction form
    249,259.50/540,585 = 540,585/x
  3. Step 3: Cross multiply
    249,259.50x = 540,585 × 540,585
  4. Step 4: Simplify right side
    249,259.50x = 292,232,142,225
  5. Step 5: Solve for x
    x = 292,232,142,225/249,259.50
  6. Step 6: Final answer
    x = 1,172,401.22

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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.