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Finding the Third Proportional to 470,770.50 and 604,459.50

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Solution

The third proportional to 470,770.50 and 604,459.50 is: 776,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,770.50 : 604,459.50 = 604,459.50 : x
  2. Step 2: Convert to fraction form
    470,770.50/604,459.50 = 604,459.50/x
  3. Step 3: Cross multiply
    470,770.50x = 604,459.50 × 604,459.50
  4. Step 4: Simplify right side
    470,770.50x = 365,371,287,140.25
  5. Step 5: Solve for x
    x = 365,371,287,140.25/470,770.50
  6. Step 6: Final answer
    x = 776,113.39

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.