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Finding the Third Proportional to 435,886.50 and 940,582.50

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Solution

The third proportional to 435,886.50 and 940,582.50 is: 2,029,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,886.50 : 940,582.50 = 940,582.50 : x
  2. Step 2: Convert to fraction form
    435,886.50/940,582.50 = 940,582.50/x
  3. Step 3: Cross multiply
    435,886.50x = 940,582.50 × 940,582.50
  4. Step 4: Simplify right side
    435,886.50x = 884,695,439,306.25
  5. Step 5: Solve for x
    x = 884,695,439,306.25/435,886.50
  6. Step 6: Final answer
    x = 2,029,646.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.