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Finding the Third Proportional to 385,047 and 598,570.50

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Solution

The third proportional to 385,047 and 598,570.50 is: 930,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,047 : 598,570.50 = 598,570.50 : x
  2. Step 2: Convert to fraction form
    385,047/598,570.50 = 598,570.50/x
  3. Step 3: Cross multiply
    385,047x = 598,570.50 × 598,570.50
  4. Step 4: Simplify right side
    385,047x = 358,286,643,470.25
  5. Step 5: Solve for x
    x = 358,286,643,470.25/385,047
  6. Step 6: Final answer
    x = 930,501.06

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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.