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Finding the Third Proportional to 503,905 and 763,855.50

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Solution

The third proportional to 503,905 and 763,855.50 is: 1,157,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,905 : 763,855.50 = 763,855.50 : x
  2. Step 2: Convert to fraction form
    503,905/763,855.50 = 763,855.50/x
  3. Step 3: Cross multiply
    503,905x = 763,855.50 × 763,855.50
  4. Step 4: Simplify right side
    503,905x = 583,475,224,880.25
  5. Step 5: Solve for x
    x = 583,475,224,880.25/503,905
  6. Step 6: Final answer
    x = 1,157,907.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.