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Finding the Third Proportional to 315,716 and 676,360

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Solution

The third proportional to 315,716 and 676,360 is: 1,448,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,716 : 676,360 = 676,360 : x
  2. Step 2: Convert to fraction form
    315,716/676,360 = 676,360/x
  3. Step 3: Cross multiply
    315,716x = 676,360 × 676,360
  4. Step 4: Simplify right side
    315,716x = 457,462,849,600
  5. Step 5: Solve for x
    x = 457,462,849,600/315,716
  6. Step 6: Final answer
    x = 1,448,969.48

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