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Finding the Third Proportional to 252,522 and 540,513

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Solution

The third proportional to 252,522 and 540,513 is: 1,156,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,522 : 540,513 = 540,513 : x
  2. Step 2: Convert to fraction form
    252,522/540,513 = 540,513/x
  3. Step 3: Cross multiply
    252,522x = 540,513 × 540,513
  4. Step 4: Simplify right side
    252,522x = 292,154,303,169
  5. Step 5: Solve for x
    x = 292,154,303,169/252,522
  6. Step 6: Final answer
    x = 1,156,945.94

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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.