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Finding the Third Proportional to 624,114 and 913,954.50

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Solution

The third proportional to 624,114 and 913,954.50 is: 1,338,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,114 : 913,954.50 = 913,954.50 : x
  2. Step 2: Convert to fraction form
    624,114/913,954.50 = 913,954.50/x
  3. Step 3: Cross multiply
    624,114x = 913,954.50 × 913,954.50
  4. Step 4: Simplify right side
    624,114x = 835,312,828,070.25
  5. Step 5: Solve for x
    x = 835,312,828,070.25/624,114
  6. Step 6: Final answer
    x = 1,338,397.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.