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Finding the Third Proportional to 426,235 and 710,290.50

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Solution

The third proportional to 426,235 and 710,290.50 is: 1,183,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,235 : 710,290.50 = 710,290.50 : x
  2. Step 2: Convert to fraction form
    426,235/710,290.50 = 710,290.50/x
  3. Step 3: Cross multiply
    426,235x = 710,290.50 × 710,290.50
  4. Step 4: Simplify right side
    426,235x = 504,512,594,390.25
  5. Step 5: Solve for x
    x = 504,512,594,390.25/426,235
  6. Step 6: Final answer
    x = 1,183,648.91

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.