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Finding the Third Proportional to 336,582 and 714,708

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Solution

The third proportional to 336,582 and 714,708 is: 1,517,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,582 : 714,708 = 714,708 : x
  2. Step 2: Convert to fraction form
    336,582/714,708 = 714,708/x
  3. Step 3: Cross multiply
    336,582x = 714,708 × 714,708
  4. Step 4: Simplify right side
    336,582x = 510,807,525,264
  5. Step 5: Solve for x
    x = 510,807,525,264/336,582
  6. Step 6: Final answer
    x = 1,517,631.74

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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.