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Finding the Third Proportional to 233,783 and 507,417

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Solution

The third proportional to 233,783 and 507,417 is: 1,101,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,783 : 507,417 = 507,417 : x
  2. Step 2: Convert to fraction form
    233,783/507,417 = 507,417/x
  3. Step 3: Cross multiply
    233,783x = 507,417 × 507,417
  4. Step 4: Simplify right side
    233,783x = 257,472,011,889
  5. Step 5: Solve for x
    x = 257,472,011,889/233,783
  6. Step 6: Final answer
    x = 1,101,329.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.