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Finding the Third Proportional to 630,271.50 and 849,174

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Solution

The third proportional to 630,271.50 and 849,174 is: 1,144,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,271.50 : 849,174 = 849,174 : x
  2. Step 2: Convert to fraction form
    630,271.50/849,174 = 849,174/x
  3. Step 3: Cross multiply
    630,271.50x = 849,174 × 849,174
  4. Step 4: Simplify right side
    630,271.50x = 721,096,482,276
  5. Step 5: Solve for x
    x = 721,096,482,276/630,271.50
  6. Step 6: Final answer
    x = 1,144,104.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.