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Finding the Third Proportional to 293,955.75 and 429,597

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Solution

The third proportional to 293,955.75 and 429,597 is: 627,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,955.75 : 429,597 = 429,597 : x
  2. Step 2: Convert to fraction form
    293,955.75/429,597 = 429,597/x
  3. Step 3: Cross multiply
    293,955.75x = 429,597 × 429,597
  4. Step 4: Simplify right side
    293,955.75x = 184,553,582,409
  5. Step 5: Solve for x
    x = 184,553,582,409/293,955.75
  6. Step 6: Final answer
    x = 627,827.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.