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Finding the Third Proportional to 426,495 and 840,961.50

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Solution

The third proportional to 426,495 and 840,961.50 is: 1,658,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,495 : 840,961.50 = 840,961.50 : x
  2. Step 2: Convert to fraction form
    426,495/840,961.50 = 840,961.50/x
  3. Step 3: Cross multiply
    426,495x = 840,961.50 × 840,961.50
  4. Step 4: Simplify right side
    426,495x = 707,216,244,482.25
  5. Step 5: Solve for x
    x = 707,216,244,482.25/426,495
  6. Step 6: Final answer
    x = 1,658,205.24

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.