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Finding the Third Proportional to 235,497 and 510,090

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Solution

The third proportional to 235,497 and 510,090 is: 1,104,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,497 : 510,090 = 510,090 : x
  2. Step 2: Convert to fraction form
    235,497/510,090 = 510,090/x
  3. Step 3: Cross multiply
    235,497x = 510,090 × 510,090
  4. Step 4: Simplify right side
    235,497x = 260,191,808,100
  5. Step 5: Solve for x
    x = 260,191,808,100/235,497
  6. Step 6: Final answer
    x = 1,104,862.52

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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.