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Finding the Third Proportional to 401,399.93 and 570,730.11

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Solution

The third proportional to 401,399.93 and 570,730.11 is: 811,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,399.93 : 570,730.11 = 570,730.11 : x
  2. Step 2: Convert to fraction form
    401,399.93/570,730.11 = 570,730.11/x
  3. Step 3: Cross multiply
    401,399.93x = 570,730.11 × 570,730.11
  4. Step 4: Simplify right side
    401,399.93x = 325,732,862,206.03
  5. Step 5: Solve for x
    x = 325,732,862,206.03/401,399.93
  6. Step 6: Final answer
    x = 811,492.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.