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Finding the Third Proportional to 724,501.50 and 1,064,598

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Solution

The third proportional to 724,501.50 and 1,064,598 is: 1,564,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,501.50 : 1,064,598 = 1,064,598 : x
  2. Step 2: Convert to fraction form
    724,501.50/1,064,598 = 1,064,598/x
  3. Step 3: Cross multiply
    724,501.50x = 1,064,598 × 1,064,598
  4. Step 4: Simplify right side
    724,501.50x = 1,133,368,901,604
  5. Step 5: Solve for x
    x = 1,133,368,901,604/724,501.50
  6. Step 6: Final answer
    x = 1,564,343.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.