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Finding the Third Proportional to 385,803 and 846,308.25

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Solution

The third proportional to 385,803 and 846,308.25 is: 1,856,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,803 : 846,308.25 = 846,308.25 : x
  2. Step 2: Convert to fraction form
    385,803/846,308.25 = 846,308.25/x
  3. Step 3: Cross multiply
    385,803x = 846,308.25 × 846,308.25
  4. Step 4: Simplify right side
    385,803x = 716,237,654,018.06
  5. Step 5: Solve for x
    x = 716,237,654,018.06/385,803
  6. Step 6: Final answer
    x = 1,856,485.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.