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Finding the Third Proportional to 316,953 and 696,114

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Solution

The third proportional to 316,953 and 696,114 is: 1,528,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,953 : 696,114 = 696,114 : x
  2. Step 2: Convert to fraction form
    316,953/696,114 = 696,114/x
  3. Step 3: Cross multiply
    316,953x = 696,114 × 696,114
  4. Step 4: Simplify right side
    316,953x = 484,574,700,996
  5. Step 5: Solve for x
    x = 484,574,700,996/316,953
  6. Step 6: Final answer
    x = 1,528,853.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.