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Finding the Third Proportional to 310,905 and 472,437

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Solution

The third proportional to 310,905 and 472,437 is: 717,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905 : 472,437 = 472,437 : x
  2. Step 2: Convert to fraction form
    310,905/472,437 = 472,437/x
  3. Step 3: Cross multiply
    310,905x = 472,437 × 472,437
  4. Step 4: Simplify right side
    310,905x = 223,196,718,969
  5. Step 5: Solve for x
    x = 223,196,718,969/310,905
  6. Step 6: Final answer
    x = 717,893.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.