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Finding the Third Proportional to 285,768 and 609,494.63

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Solution

The third proportional to 285,768 and 609,494.63 is: 1,299,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,768 : 609,494.63 = 609,494.63 : x
  2. Step 2: Convert to fraction form
    285,768/609,494.63 = 609,494.63/x
  3. Step 3: Cross multiply
    285,768x = 609,494.63 × 609,494.63
  4. Step 4: Simplify right side
    285,768x = 371,483,697,903.89
  5. Step 5: Solve for x
    x = 371,483,697,903.89/285,768
  6. Step 6: Final answer
    x = 1,299,948.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.