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Finding the Third Proportional to 522,664 and 736,046

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Solution

The third proportional to 522,664 and 736,046 is: 1,036,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,664 : 736,046 = 736,046 : x
  2. Step 2: Convert to fraction form
    522,664/736,046 = 736,046/x
  3. Step 3: Cross multiply
    522,664x = 736,046 × 736,046
  4. Step 4: Simplify right side
    522,664x = 541,763,714,116
  5. Step 5: Solve for x
    x = 541,763,714,116/522,664
  6. Step 6: Final answer
    x = 1,036,543.01

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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.