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Finding the Third Proportional to 475,830 and 700,600.50

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Solution

The third proportional to 475,830 and 700,600.50 is: 1,031,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,830 : 700,600.50 = 700,600.50 : x
  2. Step 2: Convert to fraction form
    475,830/700,600.50 = 700,600.50/x
  3. Step 3: Cross multiply
    475,830x = 700,600.50 × 700,600.50
  4. Step 4: Simplify right side
    475,830x = 490,841,060,600.25
  5. Step 5: Solve for x
    x = 490,841,060,600.25/475,830
  6. Step 6: Final answer
    x = 1,031,547.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.