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Finding the Third Proportional to 584,163 and 902,038.50

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Solution

The third proportional to 584,163 and 902,038.50 is: 1,392,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,163 : 902,038.50 = 902,038.50 : x
  2. Step 2: Convert to fraction form
    584,163/902,038.50 = 902,038.50/x
  3. Step 3: Cross multiply
    584,163x = 902,038.50 × 902,038.50
  4. Step 4: Simplify right side
    584,163x = 813,673,455,482.25
  5. Step 5: Solve for x
    x = 813,673,455,482.25/584,163
  6. Step 6: Final answer
    x = 1,392,887.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.