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Finding the Third Proportional to 607,294 and 965,008.50

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Solution

The third proportional to 607,294 and 965,008.50 is: 1,533,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,294 : 965,008.50 = 965,008.50 : x
  2. Step 2: Convert to fraction form
    607,294/965,008.50 = 965,008.50/x
  3. Step 3: Cross multiply
    607,294x = 965,008.50 × 965,008.50
  4. Step 4: Simplify right side
    607,294x = 931,241,405,072.25
  5. Step 5: Solve for x
    x = 931,241,405,072.25/607,294
  6. Step 6: Final answer
    x = 1,533,427.64

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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.