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Finding the Third Proportional to 295,515 and 432,783

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Solution

The third proportional to 295,515 and 432,783 is: 633,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,515 : 432,783 = 432,783 : x
  2. Step 2: Convert to fraction form
    295,515/432,783 = 432,783/x
  3. Step 3: Cross multiply
    295,515x = 432,783 × 432,783
  4. Step 4: Simplify right side
    295,515x = 187,301,125,089
  5. Step 5: Solve for x
    x = 187,301,125,089/295,515
  6. Step 6: Final answer
    x = 633,812.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.