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Finding the Third Proportional to 556,352 and 834,148

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Solution

The third proportional to 556,352 and 834,148 is: 1,250,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,352 : 834,148 = 834,148 : x
  2. Step 2: Convert to fraction form
    556,352/834,148 = 834,148/x
  3. Step 3: Cross multiply
    556,352x = 834,148 × 834,148
  4. Step 4: Simplify right side
    556,352x = 695,802,885,904
  5. Step 5: Solve for x
    x = 695,802,885,904/556,352
  6. Step 6: Final answer
    x = 1,250,652.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.