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Finding the Third Proportional to 409,817 and 632,901.50

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Solution

The third proportional to 409,817 and 632,901.50 is: 977,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,817 : 632,901.50 = 632,901.50 : x
  2. Step 2: Convert to fraction form
    409,817/632,901.50 = 632,901.50/x
  3. Step 3: Cross multiply
    409,817x = 632,901.50 × 632,901.50
  4. Step 4: Simplify right side
    409,817x = 400,564,308,702.25
  5. Step 5: Solve for x
    x = 400,564,308,702.25/409,817
  6. Step 6: Final answer
    x = 977,422.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.