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Finding the Third Proportional to 507,118 and 779,547

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Solution

The third proportional to 507,118 and 779,547 is: 1,198,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,118 : 779,547 = 779,547 : x
  2. Step 2: Convert to fraction form
    507,118/779,547 = 779,547/x
  3. Step 3: Cross multiply
    507,118x = 779,547 × 779,547
  4. Step 4: Simplify right side
    507,118x = 607,693,525,209
  5. Step 5: Solve for x
    x = 607,693,525,209/507,118
  6. Step 6: Final answer
    x = 1,198,327.66

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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.