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Finding the Third Proportional to 229,572 and 486,931.50

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Solution

The third proportional to 229,572 and 486,931.50 is: 1,032,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,572 : 486,931.50 = 486,931.50 : x
  2. Step 2: Convert to fraction form
    229,572/486,931.50 = 486,931.50/x
  3. Step 3: Cross multiply
    229,572x = 486,931.50 × 486,931.50
  4. Step 4: Simplify right side
    229,572x = 237,102,285,692.25
  5. Step 5: Solve for x
    x = 237,102,285,692.25/229,572
  6. Step 6: Final answer
    x = 1,032,801.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.