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Finding the Third Proportional to 346,080 and 767,312

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Solution

The third proportional to 346,080 and 767,312 is: 1,701,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,080 : 767,312 = 767,312 : x
  2. Step 2: Convert to fraction form
    346,080/767,312 = 767,312/x
  3. Step 3: Cross multiply
    346,080x = 767,312 × 767,312
  4. Step 4: Simplify right side
    346,080x = 588,767,705,344
  5. Step 5: Solve for x
    x = 588,767,705,344/346,080
  6. Step 6: Final answer
    x = 1,701,247.41

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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.