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Finding the Third Proportional to 560,308 and 841,036

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Solution

The third proportional to 560,308 and 841,036 is: 1,262,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,308 : 841,036 = 841,036 : x
  2. Step 2: Convert to fraction form
    560,308/841,036 = 841,036/x
  3. Step 3: Cross multiply
    560,308x = 841,036 × 841,036
  4. Step 4: Simplify right side
    560,308x = 707,341,553,296
  5. Step 5: Solve for x
    x = 707,341,553,296/560,308
  6. Step 6: Final answer
    x = 1,262,415.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.