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Finding the Third Proportional to 429,959 and 601,360

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Solution

The third proportional to 429,959 and 601,360 is: 841,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,959 : 601,360 = 601,360 : x
  2. Step 2: Convert to fraction form
    429,959/601,360 = 601,360/x
  3. Step 3: Cross multiply
    429,959x = 601,360 × 601,360
  4. Step 4: Simplify right side
    429,959x = 361,633,849,600
  5. Step 5: Solve for x
    x = 361,633,849,600/429,959
  6. Step 6: Final answer
    x = 841,089.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.