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Finding the Third Proportional to 329,688 and 706,020

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Solution

The third proportional to 329,688 and 706,020 is: 1,511,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,688 : 706,020 = 706,020 : x
  2. Step 2: Convert to fraction form
    329,688/706,020 = 706,020/x
  3. Step 3: Cross multiply
    329,688x = 706,020 × 706,020
  4. Step 4: Simplify right side
    329,688x = 498,464,240,400
  5. Step 5: Solve for x
    x = 498,464,240,400/329,688
  6. Step 6: Final answer
    x = 1,511,927.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.