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Finding the Third Proportional to 313,312.50 and 456,765.75

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Solution

The third proportional to 313,312.50 and 456,765.75 is: 665,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,312.50 : 456,765.75 = 456,765.75 : x
  2. Step 2: Convert to fraction form
    313,312.50/456,765.75 = 456,765.75/x
  3. Step 3: Cross multiply
    313,312.50x = 456,765.75 × 456,765.75
  4. Step 4: Simplify right side
    313,312.50x = 208,634,950,373.06
  5. Step 5: Solve for x
    x = 208,634,950,373.06/313,312.50
  6. Step 6: Final answer
    x = 665,900.50

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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.