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Finding the Third Proportional to 291,076 and 434,826

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Solution

The third proportional to 291,076 and 434,826 is: 649,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,076 : 434,826 = 434,826 : x
  2. Step 2: Convert to fraction form
    291,076/434,826 = 434,826/x
  3. Step 3: Cross multiply
    291,076x = 434,826 × 434,826
  4. Step 4: Simplify right side
    291,076x = 189,073,650,276
  5. Step 5: Solve for x
    x = 189,073,650,276/291,076
  6. Step 6: Final answer
    x = 649,567.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.