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Finding the Third Proportional to 357,567 and 783,417

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Solution

The third proportional to 357,567 and 783,417 is: 1,716,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,567 : 783,417 = 783,417 : x
  2. Step 2: Convert to fraction form
    357,567/783,417 = 783,417/x
  3. Step 3: Cross multiply
    357,567x = 783,417 × 783,417
  4. Step 4: Simplify right side
    357,567x = 613,742,195,889
  5. Step 5: Solve for x
    x = 613,742,195,889/357,567
  6. Step 6: Final answer
    x = 1,716,439.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.