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Finding the Third Proportional to 210,324 and 458,709

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Solution

The third proportional to 210,324 and 458,709 is: 1,000,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,324 : 458,709 = 458,709 : x
  2. Step 2: Convert to fraction form
    210,324/458,709 = 458,709/x
  3. Step 3: Cross multiply
    210,324x = 458,709 × 458,709
  4. Step 4: Simplify right side
    210,324x = 210,413,946,681
  5. Step 5: Solve for x
    x = 210,413,946,681/210,324
  6. Step 6: Final answer
    x = 1,000,427.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.