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Finding the Third Proportional to 314,280 and 678,360

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Solution

The third proportional to 314,280 and 678,360 is: 1,464,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,280 : 678,360 = 678,360 : x
  2. Step 2: Convert to fraction form
    314,280/678,360 = 678,360/x
  3. Step 3: Cross multiply
    314,280x = 678,360 × 678,360
  4. Step 4: Simplify right side
    314,280x = 460,172,289,600
  5. Step 5: Solve for x
    x = 460,172,289,600/314,280
  6. Step 6: Final answer
    x = 1,464,211.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.