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Finding the Third Proportional to 375,507 and 782,091

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Solution

The third proportional to 375,507 and 782,091 is: 1,628,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,507 : 782,091 = 782,091 : x
  2. Step 2: Convert to fraction form
    375,507/782,091 = 782,091/x
  3. Step 3: Cross multiply
    375,507x = 782,091 × 782,091
  4. Step 4: Simplify right side
    375,507x = 611,666,332,281
  5. Step 5: Solve for x
    x = 611,666,332,281/375,507
  6. Step 6: Final answer
    x = 1,628,907.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.