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Finding the Third Proportional to 346,076 and 767,304

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Solution

The third proportional to 346,076 and 767,304 is: 1,701,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,076 : 767,304 = 767,304 : x
  2. Step 2: Convert to fraction form
    346,076/767,304 = 767,304/x
  3. Step 3: Cross multiply
    346,076x = 767,304 × 767,304
  4. Step 4: Simplify right side
    346,076x = 588,755,428,416
  5. Step 5: Solve for x
    x = 588,755,428,416/346,076
  6. Step 6: Final answer
    x = 1,701,231.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.