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Finding the Third Proportional to 404,779 and 594,046

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Solution

The third proportional to 404,779 and 594,046 is: 871,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,779 : 594,046 = 594,046 : x
  2. Step 2: Convert to fraction form
    404,779/594,046 = 594,046/x
  3. Step 3: Cross multiply
    404,779x = 594,046 × 594,046
  4. Step 4: Simplify right side
    404,779x = 352,890,650,116
  5. Step 5: Solve for x
    x = 352,890,650,116/404,779
  6. Step 6: Final answer
    x = 871,810.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.