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Finding the Third Proportional to 584,582 and 930,900

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Solution

The third proportional to 584,582 and 930,900 is: 1,482,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,582 : 930,900 = 930,900 : x
  2. Step 2: Convert to fraction form
    584,582/930,900 = 930,900/x
  3. Step 3: Cross multiply
    584,582x = 930,900 × 930,900
  4. Step 4: Simplify right side
    584,582x = 866,574,810,000
  5. Step 5: Solve for x
    x = 866,574,810,000/584,582
  6. Step 6: Final answer
    x = 1,482,383.67

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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.