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Finding the Third Proportional to 210,574 and 460,513

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Solution

The third proportional to 210,574 and 460,513 is: 1,007,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,574 : 460,513 = 460,513 : x
  2. Step 2: Convert to fraction form
    210,574/460,513 = 460,513/x
  3. Step 3: Cross multiply
    210,574x = 460,513 × 460,513
  4. Step 4: Simplify right side
    210,574x = 212,072,223,169
  5. Step 5: Solve for x
    x = 212,072,223,169/210,574
  6. Step 6: Final answer
    x = 1,007,114.95

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Why These Related Problems?

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