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Finding the Third Proportional to 385,352 and 828,052

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Solution

The third proportional to 385,352 and 828,052 is: 1,779,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,352 : 828,052 = 828,052 : x
  2. Step 2: Convert to fraction form
    385,352/828,052 = 828,052/x
  3. Step 3: Cross multiply
    385,352x = 828,052 × 828,052
  4. Step 4: Simplify right side
    385,352x = 685,670,114,704
  5. Step 5: Solve for x
    x = 685,670,114,704/385,352
  6. Step 6: Final answer
    x = 1,779,334.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.