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Finding the Third Proportional to 314,074 and 472,838

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Solution

The third proportional to 314,074 and 472,838 is: 711,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,074 : 472,838 = 472,838 : x
  2. Step 2: Convert to fraction form
    314,074/472,838 = 472,838/x
  3. Step 3: Cross multiply
    314,074x = 472,838 × 472,838
  4. Step 4: Simplify right side
    314,074x = 223,575,774,244
  5. Step 5: Solve for x
    x = 223,575,774,244/314,074
  6. Step 6: Final answer
    x = 711,857.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.