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Finding the Third Proportional to 264,315 and 425,587.50

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Solution

The third proportional to 264,315 and 425,587.50 is: 685,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,315 : 425,587.50 = 425,587.50 : x
  2. Step 2: Convert to fraction form
    264,315/425,587.50 = 425,587.50/x
  3. Step 3: Cross multiply
    264,315x = 425,587.50 × 425,587.50
  4. Step 4: Simplify right side
    264,315x = 181,124,720,156.25
  5. Step 5: Solve for x
    x = 181,124,720,156.25/264,315
  6. Step 6: Final answer
    x = 685,260.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.