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Finding the Third Proportional to 497,788 and 765,572

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Solution

The third proportional to 497,788 and 765,572 is: 1,177,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788 : 765,572 = 765,572 : x
  2. Step 2: Convert to fraction form
    497,788/765,572 = 765,572/x
  3. Step 3: Cross multiply
    497,788x = 765,572 × 765,572
  4. Step 4: Simplify right side
    497,788x = 586,100,487,184
  5. Step 5: Solve for x
    x = 586,100,487,184/497,788
  6. Step 6: Final answer
    x = 1,177,409.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.