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Finding the Third Proportional to 448,083 and 709,861.50

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Solution

The third proportional to 448,083 and 709,861.50 is: 1,124,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,083 : 709,861.50 = 709,861.50 : x
  2. Step 2: Convert to fraction form
    448,083/709,861.50 = 709,861.50/x
  3. Step 3: Cross multiply
    448,083x = 709,861.50 × 709,861.50
  4. Step 4: Simplify right side
    448,083x = 503,903,349,182.25
  5. Step 5: Solve for x
    x = 503,903,349,182.25/448,083
  6. Step 6: Final answer
    x = 1,124,575.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.