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Finding the Third Proportional to 374,610 and 595,828.50

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Solution

The third proportional to 374,610 and 595,828.50 is: 947,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,610 : 595,828.50 = 595,828.50 : x
  2. Step 2: Convert to fraction form
    374,610/595,828.50 = 595,828.50/x
  3. Step 3: Cross multiply
    374,610x = 595,828.50 × 595,828.50
  4. Step 4: Simplify right side
    374,610x = 355,011,601,412.25
  5. Step 5: Solve for x
    x = 355,011,601,412.25/374,610
  6. Step 6: Final answer
    x = 947,683.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.