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Finding the Third Proportional to 632,312 and 964,226

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Solution

The third proportional to 632,312 and 964,226 is: 1,470,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,312 : 964,226 = 964,226 : x
  2. Step 2: Convert to fraction form
    632,312/964,226 = 964,226/x
  3. Step 3: Cross multiply
    632,312x = 964,226 × 964,226
  4. Step 4: Simplify right side
    632,312x = 929,731,779,076
  5. Step 5: Solve for x
    x = 929,731,779,076/632,312
  6. Step 6: Final answer
    x = 1,470,368.71

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Why These Related Problems?

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