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Finding the Third Proportional to 357,894 and 779,724

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Solution

The third proportional to 357,894 and 779,724 is: 1,698,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,894 : 779,724 = 779,724 : x
  2. Step 2: Convert to fraction form
    357,894/779,724 = 779,724/x
  3. Step 3: Cross multiply
    357,894x = 779,724 × 779,724
  4. Step 4: Simplify right side
    357,894x = 607,969,516,176
  5. Step 5: Solve for x
    x = 607,969,516,176/357,894
  6. Step 6: Final answer
    x = 1,698,741.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.