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Finding the Third Proportional to 529,006.50 and 1,248,574.50

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Solution

The third proportional to 529,006.50 and 1,248,574.50 is: 2,946,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,006.50 : 1,248,574.50 = 1,248,574.50 : x
  2. Step 2: Convert to fraction form
    529,006.50/1,248,574.50 = 1,248,574.50/x
  3. Step 3: Cross multiply
    529,006.50x = 1,248,574.50 × 1,248,574.50
  4. Step 4: Simplify right side
    529,006.50x = 1,558,938,282,050.25
  5. Step 5: Solve for x
    x = 1,558,938,282,050.25/529,006.50
  6. Step 6: Final answer
    x = 2,946,917.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.