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Finding the Third Proportional to 356,994 and 750,804

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Solution

The third proportional to 356,994 and 750,804 is: 1,579,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,994 : 750,804 = 750,804 : x
  2. Step 2: Convert to fraction form
    356,994/750,804 = 750,804/x
  3. Step 3: Cross multiply
    356,994x = 750,804 × 750,804
  4. Step 4: Simplify right side
    356,994x = 563,706,646,416
  5. Step 5: Solve for x
    x = 563,706,646,416/356,994
  6. Step 6: Final answer
    x = 1,579,036.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.