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Finding the Third Proportional to 341,076 and 511,614

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Solution

The third proportional to 341,076 and 511,614 is: 767,421

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,076 : 511,614 = 511,614 : x
  2. Step 2: Convert to fraction form
    341,076/511,614 = 511,614/x
  3. Step 3: Cross multiply
    341,076x = 511,614 × 511,614
  4. Step 4: Simplify right side
    341,076x = 261,748,884,996
  5. Step 5: Solve for x
    x = 261,748,884,996/341,076
  6. Step 6: Final answer
    x = 767,421

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.