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Finding the Third Proportional to 472,314 and 549,087

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Solution

The third proportional to 472,314 and 549,087 is: 638,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,314 : 549,087 = 549,087 : x
  2. Step 2: Convert to fraction form
    472,314/549,087 = 549,087/x
  3. Step 3: Cross multiply
    472,314x = 549,087 × 549,087
  4. Step 4: Simplify right side
    472,314x = 301,496,533,569
  5. Step 5: Solve for x
    x = 301,496,533,569/472,314
  6. Step 6: Final answer
    x = 638,339.18

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.