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Finding the Third Proportional to 403,623 and 625,117.50

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Solution

The third proportional to 403,623 and 625,117.50 is: 968,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,623 : 625,117.50 = 625,117.50 : x
  2. Step 2: Convert to fraction form
    403,623/625,117.50 = 625,117.50/x
  3. Step 3: Cross multiply
    403,623x = 625,117.50 × 625,117.50
  4. Step 4: Simplify right side
    403,623x = 390,771,888,806.25
  5. Step 5: Solve for x
    x = 390,771,888,806.25/403,623
  6. Step 6: Final answer
    x = 968,160.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.