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Finding the Third Proportional to 614,480 and 953,688

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Solution

The third proportional to 614,480 and 953,688 is: 1,480,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,480 : 953,688 = 953,688 : x
  2. Step 2: Convert to fraction form
    614,480/953,688 = 953,688/x
  3. Step 3: Cross multiply
    614,480x = 953,688 × 953,688
  4. Step 4: Simplify right side
    614,480x = 909,520,801,344
  5. Step 5: Solve for x
    x = 909,520,801,344/614,480
  6. Step 6: Final answer
    x = 1,480,147.12

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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.