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Finding the Third Proportional to 318,069.75 and 692,241

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Solution

The third proportional to 318,069.75 and 692,241 is: 1,506,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,069.75 : 692,241 = 692,241 : x
  2. Step 2: Convert to fraction form
    318,069.75/692,241 = 692,241/x
  3. Step 3: Cross multiply
    318,069.75x = 692,241 × 692,241
  4. Step 4: Simplify right side
    318,069.75x = 479,197,602,081
  5. Step 5: Solve for x
    x = 479,197,602,081/318,069.75
  6. Step 6: Final answer
    x = 1,506,580.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.