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Finding the Third Proportional to 608,575 and 946,050

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Solution

The third proportional to 608,575 and 946,050 is: 1,470,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,575 : 946,050 = 946,050 : x
  2. Step 2: Convert to fraction form
    608,575/946,050 = 946,050/x
  3. Step 3: Cross multiply
    608,575x = 946,050 × 946,050
  4. Step 4: Simplify right side
    608,575x = 895,010,602,500
  5. Step 5: Solve for x
    x = 895,010,602,500/608,575
  6. Step 6: Final answer
    x = 1,470,666.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.