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Finding the Third Proportional to 314,242 and 678,284

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Solution

The third proportional to 314,242 and 678,284 is: 1,464,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,242 : 678,284 = 678,284 : x
  2. Step 2: Convert to fraction form
    314,242/678,284 = 678,284/x
  3. Step 3: Cross multiply
    314,242x = 678,284 × 678,284
  4. Step 4: Simplify right side
    314,242x = 460,069,184,656
  5. Step 5: Solve for x
    x = 460,069,184,656/314,242
  6. Step 6: Final answer
    x = 1,464,060.13

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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.