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Finding the Third Proportional to 340,827.75 and 716,900.63

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Solution

The third proportional to 340,827.75 and 716,900.63 is: 1,507,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,827.75 : 716,900.63 = 716,900.63 : x
  2. Step 2: Convert to fraction form
    340,827.75/716,900.63 = 716,900.63/x
  3. Step 3: Cross multiply
    340,827.75x = 716,900.63 × 716,900.63
  4. Step 4: Simplify right side
    340,827.75x = 513,946,506,125.39
  5. Step 5: Solve for x
    x = 513,946,506,125.39/340,827.75
  6. Step 6: Final answer
    x = 1,507,936.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.