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Finding the Third Proportional to 235,332 and 511,461

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Solution

The third proportional to 235,332 and 511,461 is: 1,111,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,332 : 511,461 = 511,461 : x
  2. Step 2: Convert to fraction form
    235,332/511,461 = 511,461/x
  3. Step 3: Cross multiply
    235,332x = 511,461 × 511,461
  4. Step 4: Simplify right side
    235,332x = 261,592,354,521
  5. Step 5: Solve for x
    x = 261,592,354,521/235,332
  6. Step 6: Final answer
    x = 1,111,588.54

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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.