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Finding the Third Proportional to 478,599 and 740,977.50

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Solution

The third proportional to 478,599 and 740,977.50 is: 1,147,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,599 : 740,977.50 = 740,977.50 : x
  2. Step 2: Convert to fraction form
    478,599/740,977.50 = 740,977.50/x
  3. Step 3: Cross multiply
    478,599x = 740,977.50 × 740,977.50
  4. Step 4: Simplify right side
    478,599x = 549,047,655,506.25
  5. Step 5: Solve for x
    x = 549,047,655,506.25/478,599
  6. Step 6: Final answer
    x = 1,147,197.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.