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Finding the Third Proportional to 570,895 and 803,236

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Solution

The third proportional to 570,895 and 803,236 is: 1,130,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,895 : 803,236 = 803,236 : x
  2. Step 2: Convert to fraction form
    570,895/803,236 = 803,236/x
  3. Step 3: Cross multiply
    570,895x = 803,236 × 803,236
  4. Step 4: Simplify right side
    570,895x = 645,188,071,696
  5. Step 5: Solve for x
    x = 645,188,071,696/570,895
  6. Step 6: Final answer
    x = 1,130,134.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.