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Finding the Third Proportional to 210,232 and 493,553

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Solution

The third proportional to 210,232 and 493,553 is: 1,158,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,232 : 493,553 = 493,553 : x
  2. Step 2: Convert to fraction form
    210,232/493,553 = 493,553/x
  3. Step 3: Cross multiply
    210,232x = 493,553 × 493,553
  4. Step 4: Simplify right side
    210,232x = 243,594,563,809
  5. Step 5: Solve for x
    x = 243,594,563,809/210,232
  6. Step 6: Final answer
    x = 1,158,694.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.