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Finding the Third Proportional to 384,594 and 597,055.50

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Solution

The third proportional to 384,594 and 597,055.50 is: 926,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,594 : 597,055.50 = 597,055.50 : x
  2. Step 2: Convert to fraction form
    384,594/597,055.50 = 597,055.50/x
  3. Step 3: Cross multiply
    384,594x = 597,055.50 × 597,055.50
  4. Step 4: Simplify right side
    384,594x = 356,475,270,080.25
  5. Step 5: Solve for x
    x = 356,475,270,080.25/384,594
  6. Step 6: Final answer
    x = 926,887.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.