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Finding the Third Proportional to 423,070 and 655,399

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Solution

The third proportional to 423,070 and 655,399 is: 1,015,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,070 : 655,399 = 655,399 : x
  2. Step 2: Convert to fraction form
    423,070/655,399 = 655,399/x
  3. Step 3: Cross multiply
    423,070x = 655,399 × 655,399
  4. Step 4: Simplify right side
    423,070x = 429,547,849,201
  5. Step 5: Solve for x
    x = 429,547,849,201/423,070
  6. Step 6: Final answer
    x = 1,015,311.53

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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.