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Finding the Third Proportional to 343,888 and 729,536

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Solution

The third proportional to 343,888 and 729,536 is: 1,547,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,888 : 729,536 = 729,536 : x
  2. Step 2: Convert to fraction form
    343,888/729,536 = 729,536/x
  3. Step 3: Cross multiply
    343,888x = 729,536 × 729,536
  4. Step 4: Simplify right side
    343,888x = 532,222,775,296
  5. Step 5: Solve for x
    x = 532,222,775,296/343,888
  6. Step 6: Final answer
    x = 1,547,663.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.