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Finding the Third Proportional to 315,468 and 688,027.50

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Solution

The third proportional to 315,468 and 688,027.50 is: 1,500,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,468 : 688,027.50 = 688,027.50 : x
  2. Step 2: Convert to fraction form
    315,468/688,027.50 = 688,027.50/x
  3. Step 3: Cross multiply
    315,468x = 688,027.50 × 688,027.50
  4. Step 4: Simplify right side
    315,468x = 473,381,840,756.25
  5. Step 5: Solve for x
    x = 473,381,840,756.25/315,468
  6. Step 6: Final answer
    x = 1,500,570.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.