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Finding the Third Proportional to 448,464 and 604,174.50

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Solution

The third proportional to 448,464 and 604,174.50 is: 813,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,464 : 604,174.50 = 604,174.50 : x
  2. Step 2: Convert to fraction form
    448,464/604,174.50 = 604,174.50/x
  3. Step 3: Cross multiply
    448,464x = 604,174.50 × 604,174.50
  4. Step 4: Simplify right side
    448,464x = 365,026,826,450.25
  5. Step 5: Solve for x
    x = 365,026,826,450.25/448,464
  6. Step 6: Final answer
    x = 813,949.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.