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Finding the Third Proportional to 210,522 and 460,410

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Solution

The third proportional to 210,522 and 460,410 is: 1,006,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,522 : 460,410 = 460,410 : x
  2. Step 2: Convert to fraction form
    210,522/460,410 = 460,410/x
  3. Step 3: Cross multiply
    210,522x = 460,410 × 460,410
  4. Step 4: Simplify right side
    210,522x = 211,977,368,100
  5. Step 5: Solve for x
    x = 211,977,368,100/210,522
  6. Step 6: Final answer
    x = 1,006,913.14

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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.