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Finding the Third Proportional to 438,480 and 946,903.50

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Solution

The third proportional to 438,480 and 946,903.50 is: 2,044,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,480 : 946,903.50 = 946,903.50 : x
  2. Step 2: Convert to fraction form
    438,480/946,903.50 = 946,903.50/x
  3. Step 3: Cross multiply
    438,480x = 946,903.50 × 946,903.50
  4. Step 4: Simplify right side
    438,480x = 896,626,238,312.25
  5. Step 5: Solve for x
    x = 896,626,238,312.25/438,480
  6. Step 6: Final answer
    x = 2,044,850.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.