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Finding the Third Proportional to 746,502 and 1,005,703.50

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Solution

The third proportional to 746,502 and 1,005,703.50 is: 1,354,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,502 : 1,005,703.50 = 1,005,703.50 : x
  2. Step 2: Convert to fraction form
    746,502/1,005,703.50 = 1,005,703.50/x
  3. Step 3: Cross multiply
    746,502x = 1,005,703.50 × 1,005,703.50
  4. Step 4: Simplify right side
    746,502x = 1,011,439,529,912.25
  5. Step 5: Solve for x
    x = 1,011,439,529,912.25/746,502
  6. Step 6: Final answer
    x = 1,354,905.32

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Why These Related Problems?

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