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Finding the Third Proportional to 359,798 and 528,033

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Solution

The third proportional to 359,798 and 528,033 is: 774,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,798 : 528,033 = 528,033 : x
  2. Step 2: Convert to fraction form
    359,798/528,033 = 528,033/x
  3. Step 3: Cross multiply
    359,798x = 528,033 × 528,033
  4. Step 4: Simplify right side
    359,798x = 278,818,849,089
  5. Step 5: Solve for x
    x = 278,818,849,089/359,798
  6. Step 6: Final answer
    x = 774,931.63

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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.