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Finding the Third Proportional to 333,746,802.75 and 490,974,918.75

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Solution

The third proportional to 333,746,802.75 and 490,974,918.75 is: 722,273,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,746,802.75 : 490,974,918.75 = 490,974,918.75 : x
  2. Step 2: Convert to fraction form
    333,746,802.75/490,974,918.75 = 490,974,918.75/x
  3. Step 3: Cross multiply
    333,746,802.75x = 490,974,918.75 × 490,974,918.75
  4. Step 4: Simplify right side
    333,746,802.75x = 241,056,370,841,569,088
  5. Step 5: Solve for x
    x = 241,056,370,841,569,088/333,746,802.75
  6. Step 6: Final answer
    x = 722,273,198.89

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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.