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Finding the Third Proportional to 431,575 and 653,360.50

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Solution

The third proportional to 431,575 and 653,360.50 is: 989,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,575 : 653,360.50 = 653,360.50 : x
  2. Step 2: Convert to fraction form
    431,575/653,360.50 = 653,360.50/x
  3. Step 3: Cross multiply
    431,575x = 653,360.50 × 653,360.50
  4. Step 4: Simplify right side
    431,575x = 426,879,942,960.25
  5. Step 5: Solve for x
    x = 426,879,942,960.25/431,575
  6. Step 6: Final answer
    x = 989,121.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.