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Finding the Third Proportional to 315,657 and 425,290.50

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Solution

The third proportional to 315,657 and 425,290.50 is: 573,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,657 : 425,290.50 = 425,290.50 : x
  2. Step 2: Convert to fraction form
    315,657/425,290.50 = 425,290.50/x
  3. Step 3: Cross multiply
    315,657x = 425,290.50 × 425,290.50
  4. Step 4: Simplify right side
    315,657x = 180,872,009,390.25
  5. Step 5: Solve for x
    x = 180,872,009,390.25/315,657
  6. Step 6: Final answer
    x = 573,001.74

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