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Finding the Third Proportional to 515,994 and 781,776

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Solution

The third proportional to 515,994 and 781,776 is: 1,184,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994 : 781,776 = 781,776 : x
  2. Step 2: Convert to fraction form
    515,994/781,776 = 781,776/x
  3. Step 3: Cross multiply
    515,994x = 781,776 × 781,776
  4. Step 4: Simplify right side
    515,994x = 611,173,714,176
  5. Step 5: Solve for x
    x = 611,173,714,176/515,994
  6. Step 6: Final answer
    x = 1,184,458.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.