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Finding the Third Proportional to 830,466 and 1,245,703.50

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Solution

The third proportional to 830,466 and 1,245,703.50 is: 1,868,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,466 : 1,245,703.50 = 1,245,703.50 : x
  2. Step 2: Convert to fraction form
    830,466/1,245,703.50 = 1,245,703.50/x
  3. Step 3: Cross multiply
    830,466x = 1,245,703.50 × 1,245,703.50
  4. Step 4: Simplify right side
    830,466x = 1,551,777,209,912.25
  5. Step 5: Solve for x
    x = 1,551,777,209,912.25/830,466
  6. Step 6: Final answer
    x = 1,868,562.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.