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Finding the Third Proportional to 584,580 and 930,897

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Solution

The third proportional to 584,580 and 930,897 is: 1,482,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,580 : 930,897 = 930,897 : x
  2. Step 2: Convert to fraction form
    584,580/930,897 = 930,897/x
  3. Step 3: Cross multiply
    584,580x = 930,897 × 930,897
  4. Step 4: Simplify right side
    584,580x = 866,569,224,609
  5. Step 5: Solve for x
    x = 866,569,224,609/584,580
  6. Step 6: Final answer
    x = 1,482,379.19

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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.