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Finding the Third Proportional to 296,490 and 634,803

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Solution

The third proportional to 296,490 and 634,803 is: 1,359,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,490 : 634,803 = 634,803 : x
  2. Step 2: Convert to fraction form
    296,490/634,803 = 634,803/x
  3. Step 3: Cross multiply
    296,490x = 634,803 × 634,803
  4. Step 4: Simplify right side
    296,490x = 402,974,848,809
  5. Step 5: Solve for x
    x = 402,974,848,809/296,490
  6. Step 6: Final answer
    x = 1,359,151.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.