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Finding the Third Proportional to 762,907.50 and 1,116,985.50

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Solution

The third proportional to 762,907.50 and 1,116,985.50 is: 1,635,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,907.50 : 1,116,985.50 = 1,116,985.50 : x
  2. Step 2: Convert to fraction form
    762,907.50/1,116,985.50 = 1,116,985.50/x
  3. Step 3: Cross multiply
    762,907.50x = 1,116,985.50 × 1,116,985.50
  4. Step 4: Simplify right side
    762,907.50x = 1,247,656,607,210.25
  5. Step 5: Solve for x
    x = 1,247,656,607,210.25/762,907.50
  6. Step 6: Final answer
    x = 1,635,396.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.