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Finding the Third Proportional to 315,047 and 691,335

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Solution

The third proportional to 315,047 and 691,335 is: 1,517,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,047 : 691,335 = 691,335 : x
  2. Step 2: Convert to fraction form
    315,047/691,335 = 691,335/x
  3. Step 3: Cross multiply
    315,047x = 691,335 × 691,335
  4. Step 4: Simplify right side
    315,047x = 477,944,082,225
  5. Step 5: Solve for x
    x = 477,944,082,225/315,047
  6. Step 6: Final answer
    x = 1,517,056.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.