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Finding the Third Proportional to 470,779.50 and 604,468.50

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Solution

The third proportional to 470,779.50 and 604,468.50 is: 776,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,779.50 : 604,468.50 = 604,468.50 : x
  2. Step 2: Convert to fraction form
    470,779.50/604,468.50 = 604,468.50/x
  3. Step 3: Cross multiply
    470,779.50x = 604,468.50 × 604,468.50
  4. Step 4: Simplify right side
    470,779.50x = 365,382,167,492.25
  5. Step 5: Solve for x
    x = 365,382,167,492.25/470,779.50
  6. Step 6: Final answer
    x = 776,121.66

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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.