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Finding the Third Proportional to 310,455.50 and 468,114

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Solution

The third proportional to 310,455.50 and 468,114 is: 705,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,455.50 : 468,114 = 468,114 : x
  2. Step 2: Convert to fraction form
    310,455.50/468,114 = 468,114/x
  3. Step 3: Cross multiply
    310,455.50x = 468,114 × 468,114
  4. Step 4: Simplify right side
    310,455.50x = 219,130,716,996
  5. Step 5: Solve for x
    x = 219,130,716,996/310,455.50
  6. Step 6: Final answer
    x = 705,836.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.