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Finding the Third Proportional to 292,510 and 632,994.50

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Solution

The third proportional to 292,510 and 632,994.50 is: 1,369,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,510 : 632,994.50 = 632,994.50 : x
  2. Step 2: Convert to fraction form
    292,510/632,994.50 = 632,994.50/x
  3. Step 3: Cross multiply
    292,510x = 632,994.50 × 632,994.50
  4. Step 4: Simplify right side
    292,510x = 400,682,037,030.25
  5. Step 5: Solve for x
    x = 400,682,037,030.25/292,510
  6. Step 6: Final answer
    x = 1,369,806.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.