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Finding the Third Proportional to 460,867.50 and 671,037.75

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Solution

The third proportional to 460,867.50 and 671,037.75 is: 977,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,867.50 : 671,037.75 = 671,037.75 : x
  2. Step 2: Convert to fraction form
    460,867.50/671,037.75 = 671,037.75/x
  3. Step 3: Cross multiply
    460,867.50x = 671,037.75 × 671,037.75
  4. Step 4: Simplify right side
    460,867.50x = 450,291,661,925.06
  5. Step 5: Solve for x
    x = 450,291,661,925.06/460,867.50
  6. Step 6: Final answer
    x = 977,052.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.