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Finding the Third Proportional to 560,306 and 841,033

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Solution

The third proportional to 560,306 and 841,033 is: 1,262,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,306 : 841,033 = 841,033 : x
  2. Step 2: Convert to fraction form
    560,306/841,033 = 841,033/x
  3. Step 3: Cross multiply
    560,306x = 841,033 × 841,033
  4. Step 4: Simplify right side
    560,306x = 707,336,507,089
  5. Step 5: Solve for x
    x = 707,336,507,089/560,306
  6. Step 6: Final answer
    x = 1,262,411.09

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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.