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Finding the Third Proportional to 470,818 and 604,514

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Solution

The third proportional to 470,818 and 604,514 is: 776,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,818 : 604,514 = 604,514 : x
  2. Step 2: Convert to fraction form
    470,818/604,514 = 604,514/x
  3. Step 3: Cross multiply
    470,818x = 604,514 × 604,514
  4. Step 4: Simplify right side
    470,818x = 365,437,176,196
  5. Step 5: Solve for x
    x = 365,437,176,196/470,818
  6. Step 6: Final answer
    x = 776,175.03

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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.