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Finding the Third Proportional to 402,370 and 607,658

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Solution

The third proportional to 402,370 and 607,658 is: 917,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,370 : 607,658 = 607,658 : x
  2. Step 2: Convert to fraction form
    402,370/607,658 = 607,658/x
  3. Step 3: Cross multiply
    402,370x = 607,658 × 607,658
  4. Step 4: Simplify right side
    402,370x = 369,248,244,964
  5. Step 5: Solve for x
    x = 369,248,244,964/402,370
  6. Step 6: Final answer
    x = 917,683.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.