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Finding the Third Proportional to 233,575 and 510,770

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Solution

The third proportional to 233,575 and 510,770 is: 1,116,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575 : 510,770 = 510,770 : x
  2. Step 2: Convert to fraction form
    233,575/510,770 = 510,770/x
  3. Step 3: Cross multiply
    233,575x = 510,770 × 510,770
  4. Step 4: Simplify right side
    233,575x = 260,885,992,900
  5. Step 5: Solve for x
    x = 260,885,992,900/233,575
  6. Step 6: Final answer
    x = 1,116,926.01

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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.