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Finding the Third Proportional to 342,273 and 706,362

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Solution

The third proportional to 342,273 and 706,362 is: 1,457,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,273 : 706,362 = 706,362 : x
  2. Step 2: Convert to fraction form
    342,273/706,362 = 706,362/x
  3. Step 3: Cross multiply
    342,273x = 706,362 × 706,362
  4. Step 4: Simplify right side
    342,273x = 498,947,275,044
  5. Step 5: Solve for x
    x = 498,947,275,044/342,273
  6. Step 6: Final answer
    x = 1,457,746.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.