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Finding the Third Proportional to 384,748 and 574,968

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Solution

The third proportional to 384,748 and 574,968 is: 859,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,748 : 574,968 = 574,968 : x
  2. Step 2: Convert to fraction form
    384,748/574,968 = 574,968/x
  3. Step 3: Cross multiply
    384,748x = 574,968 × 574,968
  4. Step 4: Simplify right side
    384,748x = 330,588,201,024
  5. Step 5: Solve for x
    x = 330,588,201,024/384,748
  6. Step 6: Final answer
    x = 859,233.06

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