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Finding the Third Proportional to 397,077 and 607,528.50

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Solution

The third proportional to 397,077 and 607,528.50 is: 929,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,077 : 607,528.50 = 607,528.50 : x
  2. Step 2: Convert to fraction form
    397,077/607,528.50 = 607,528.50/x
  3. Step 3: Cross multiply
    397,077x = 607,528.50 × 607,528.50
  4. Step 4: Simplify right side
    397,077x = 369,090,878,312.25
  5. Step 5: Solve for x
    x = 369,090,878,312.25/397,077
  6. Step 6: Final answer
    x = 929,519.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.