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Finding the Third Proportional to 336,770 and 715,060

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Solution

The third proportional to 336,770 and 715,060 is: 1,518,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,770 : 715,060 = 715,060 : x
  2. Step 2: Convert to fraction form
    336,770/715,060 = 715,060/x
  3. Step 3: Cross multiply
    336,770x = 715,060 × 715,060
  4. Step 4: Simplify right side
    336,770x = 511,310,803,600
  5. Step 5: Solve for x
    x = 511,310,803,600/336,770
  6. Step 6: Final answer
    x = 1,518,278.95

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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.