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Finding the Third Proportional to 243,303 and 387,436.50

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Solution

The third proportional to 243,303 and 387,436.50 is: 616,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,303 : 387,436.50 = 387,436.50 : x
  2. Step 2: Convert to fraction form
    243,303/387,436.50 = 387,436.50/x
  3. Step 3: Cross multiply
    243,303x = 387,436.50 × 387,436.50
  4. Step 4: Simplify right side
    243,303x = 150,107,041,532.25
  5. Step 5: Solve for x
    x = 150,107,041,532.25/243,303
  6. Step 6: Final answer
    x = 616,955.16

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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.