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Finding the Third Proportional to 584,570 and 930,887

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Solution

The third proportional to 584,570 and 930,887 is: 1,482,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,570 : 930,887 = 930,887 : x
  2. Step 2: Convert to fraction form
    584,570/930,887 = 930,887/x
  3. Step 3: Cross multiply
    584,570x = 930,887 × 930,887
  4. Step 4: Simplify right side
    584,570x = 866,550,606,769
  5. Step 5: Solve for x
    x = 866,550,606,769/584,570
  6. Step 6: Final answer
    x = 1,482,372.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.