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Finding the Third Proportional to 341,574 and 730,441.50

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Solution

The third proportional to 341,574 and 730,441.50 is: 1,562,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,574 : 730,441.50 = 730,441.50 : x
  2. Step 2: Convert to fraction form
    341,574/730,441.50 = 730,441.50/x
  3. Step 3: Cross multiply
    341,574x = 730,441.50 × 730,441.50
  4. Step 4: Simplify right side
    341,574x = 533,544,784,922.25
  5. Step 5: Solve for x
    x = 533,544,784,922.25/341,574
  6. Step 6: Final answer
    x = 1,562,018.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.