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Finding the Third Proportional to 454,291.03 and 712,748.11

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Solution

The third proportional to 454,291.03 and 712,748.11 is: 1,118,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,291.03 : 712,748.11 = 712,748.11 : x
  2. Step 2: Convert to fraction form
    454,291.03/712,748.11 = 712,748.11/x
  3. Step 3: Cross multiply
    454,291.03x = 712,748.11 × 712,748.11
  4. Step 4: Simplify right side
    454,291.03x = 508,009,867,417.64
  5. Step 5: Solve for x
    x = 508,009,867,417.64/454,291.03
  6. Step 6: Final answer
    x = 1,118,247.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.