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Finding the Third Proportional to 345,254 and 753,264

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Solution

The third proportional to 345,254 and 753,264 is: 1,643,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,254 : 753,264 = 753,264 : x
  2. Step 2: Convert to fraction form
    345,254/753,264 = 753,264/x
  3. Step 3: Cross multiply
    345,254x = 753,264 × 753,264
  4. Step 4: Simplify right side
    345,254x = 567,406,653,696
  5. Step 5: Solve for x
    x = 567,406,653,696/345,254
  6. Step 6: Final answer
    x = 1,643,447.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.