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Finding the Third Proportional to 473,400.07 and 709,989.05

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Solution

The third proportional to 473,400.07 and 709,989.05 is: 1,064,817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,400.07 : 709,989.05 = 709,989.05 : x
  2. Step 2: Convert to fraction form
    473,400.07/709,989.05 = 709,989.05/x
  3. Step 3: Cross multiply
    473,400.07x = 709,989.05 × 709,989.05
  4. Step 4: Simplify right side
    473,400.07x = 504,084,446,682.47
  5. Step 5: Solve for x
    x = 504,084,446,682.47/473,400.07
  6. Step 6: Final answer
    x = 1,064,817.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.