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Finding the Third Proportional to 340,128 and 530,869.50

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Solution

The third proportional to 340,128 and 530,869.50 is: 828,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,128 : 530,869.50 = 530,869.50 : x
  2. Step 2: Convert to fraction form
    340,128/530,869.50 = 530,869.50/x
  3. Step 3: Cross multiply
    340,128x = 530,869.50 × 530,869.50
  4. Step 4: Simplify right side
    340,128x = 281,822,426,030.25
  5. Step 5: Solve for x
    x = 281,822,426,030.25/340,128
  6. Step 6: Final answer
    x = 828,577.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.