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Finding the Third Proportional to 298,053 and 450,931.50

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Solution

The third proportional to 298,053 and 450,931.50 is: 682,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,053 : 450,931.50 = 450,931.50 : x
  2. Step 2: Convert to fraction form
    298,053/450,931.50 = 450,931.50/x
  3. Step 3: Cross multiply
    298,053x = 450,931.50 × 450,931.50
  4. Step 4: Simplify right side
    298,053x = 203,339,217,692.25
  5. Step 5: Solve for x
    x = 203,339,217,692.25/298,053
  6. Step 6: Final answer
    x = 682,225.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.