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Finding the Third Proportional to 595,062.50 and 906,537

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Solution

The third proportional to 595,062.50 and 906,537 is: 1,381,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,062.50 : 906,537 = 906,537 : x
  2. Step 2: Convert to fraction form
    595,062.50/906,537 = 906,537/x
  3. Step 3: Cross multiply
    595,062.50x = 906,537 × 906,537
  4. Step 4: Simplify right side
    595,062.50x = 821,809,332,369
  5. Step 5: Solve for x
    x = 821,809,332,369/595,062.50
  6. Step 6: Final answer
    x = 1,381,047.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.