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Finding the Third Proportional to 584,430 and 876,645

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Solution

The third proportional to 584,430 and 876,645 is: 1,314,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,430 : 876,645 = 876,645 : x
  2. Step 2: Convert to fraction form
    584,430/876,645 = 876,645/x
  3. Step 3: Cross multiply
    584,430x = 876,645 × 876,645
  4. Step 4: Simplify right side
    584,430x = 768,506,456,025
  5. Step 5: Solve for x
    x = 768,506,456,025/584,430
  6. Step 6: Final answer
    x = 1,314,967.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.