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Finding the Third Proportional to 352,574 and 514,097

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Solution

The third proportional to 352,574 and 514,097 is: 749,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,574 : 514,097 = 514,097 : x
  2. Step 2: Convert to fraction form
    352,574/514,097 = 514,097/x
  3. Step 3: Cross multiply
    352,574x = 514,097 × 514,097
  4. Step 4: Simplify right side
    352,574x = 264,295,725,409
  5. Step 5: Solve for x
    x = 264,295,725,409/352,574
  6. Step 6: Final answer
    x = 749,617.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.