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Finding the Third Proportional to 680,547.94 and 924,809.63

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Solution

The third proportional to 680,547.94 and 924,809.63 is: 1,256,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,547.94 : 924,809.63 = 924,809.63 : x
  2. Step 2: Convert to fraction form
    680,547.94/924,809.63 = 924,809.63/x
  3. Step 3: Cross multiply
    680,547.94x = 924,809.63 × 924,809.63
  4. Step 4: Simplify right side
    680,547.94x = 855,272,842,492.64
  5. Step 5: Solve for x
    x = 855,272,842,492.64/680,547.94
  6. Step 6: Final answer
    x = 1,256,741.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.