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Finding the Third Proportional to 294,885 and 403,528.50

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Solution

The third proportional to 294,885 and 403,528.50 is: 552,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,885 : 403,528.50 = 403,528.50 : x
  2. Step 2: Convert to fraction form
    294,885/403,528.50 = 403,528.50/x
  3. Step 3: Cross multiply
    294,885x = 403,528.50 × 403,528.50
  4. Step 4: Simplify right side
    294,885x = 162,835,250,312.25
  5. Step 5: Solve for x
    x = 162,835,250,312.25/294,885
  6. Step 6: Final answer
    x = 552,199.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.