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Finding the Third Proportional to 296,388 and 459,787.50

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Solution

The third proportional to 296,388 and 459,787.50 is: 713,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,388 : 459,787.50 = 459,787.50 : x
  2. Step 2: Convert to fraction form
    296,388/459,787.50 = 459,787.50/x
  3. Step 3: Cross multiply
    296,388x = 459,787.50 × 459,787.50
  4. Step 4: Simplify right side
    296,388x = 211,404,545,156.25
  5. Step 5: Solve for x
    x = 211,404,545,156.25/296,388
  6. Step 6: Final answer
    x = 713,269.58

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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.