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Finding the Third Proportional to 356,998 and 772,776

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Solution

The third proportional to 356,998 and 772,776 is: 1,672,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,998 : 772,776 = 772,776 : x
  2. Step 2: Convert to fraction form
    356,998/772,776 = 772,776/x
  3. Step 3: Cross multiply
    356,998x = 772,776 × 772,776
  4. Step 4: Simplify right side
    356,998x = 597,182,746,176
  5. Step 5: Solve for x
    x = 597,182,746,176/356,998
  6. Step 6: Final answer
    x = 1,672,790.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.