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Finding the Third Proportional to 403,061 and 609,128

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Solution

The third proportional to 403,061 and 609,128 is: 920,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,061 : 609,128 = 609,128 : x
  2. Step 2: Convert to fraction form
    403,061/609,128 = 609,128/x
  3. Step 3: Cross multiply
    403,061x = 609,128 × 609,128
  4. Step 4: Simplify right side
    403,061x = 371,036,920,384
  5. Step 5: Solve for x
    x = 371,036,920,384/403,061
  6. Step 6: Final answer
    x = 920,547.81

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