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Finding the Third Proportional to 258,130.13 and 607,317.75

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Solution

The third proportional to 258,130.13 and 607,317.75 is: 1,428,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,130.13 : 607,317.75 = 607,317.75 : x
  2. Step 2: Convert to fraction form
    258,130.13/607,317.75 = 607,317.75/x
  3. Step 3: Cross multiply
    258,130.13x = 607,317.75 × 607,317.75
  4. Step 4: Simplify right side
    258,130.13x = 368,834,849,465.06
  5. Step 5: Solve for x
    x = 368,834,849,465.06/258,130.13
  6. Step 6: Final answer
    x = 1,428,871.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.